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212012212001022 = 234192314892011267
BaseRepresentation
bin110000001101001011110000…
…100101011001100011111110
31000210200011120120202002110000
4300031023300211121203332
5210242102002233013042
62030525022101055130
762441243153533536
oct6015136045314376
91023604516662400
10212012212001022
116160a968589284
121b9414789b74a6
13913b886a0cb74
143a4d6354484c6
151979dce15a74c
hexc0d2f09598fe

212012212001022 has 160 divisors (see below), whose sum is σ = 522160571116800. Its totient is φ = 63997261270272.

The previous prime is 212012212001011. The next prime is 212012212001053. The reversal of 212012212001022 is 220100212210212.

It is a happy number.

212012212001022 is a `hidden beast` number, since 21 + 201 + 221 + 200 + 1 + 0 + 22 = 666.

212012212001022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2120122120010222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212012212000986 and 212012212001004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104406633 + ... + 106417899.

It is an arithmetic number, because the mean of its divisors is an integer number (3263503569480).

Almost surely, 2212012212001022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212012212001022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261080285558400).

212012212001022 is an abundant number, since it is smaller than the sum of its proper divisors (310148359115778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212012212001022 is a wasteful number, since it uses less digits than its factorization.

212012212001022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012812 (or 2012803 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212012212001022 its reverse (220100212210212), we get a palindrome (432112424211234).

The spelling of 212012212001022 in words is "two hundred twelve trillion, twelve billion, two hundred twelve million, one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 81 114 138 162 171 207 342 414 437 513 621 874 1026 1242 1311 1489 1539 1863 2622 2978 3078 3726 3933 4467 7866 8934 11799 13401 23598 26802 28291 34247 35397 40203 56582 68494 70794 80406 84873 102741 120609 169746 205482 241218 254619 308223 509238 616446 650693 763857 924669 1301386 1527714 1849338 1952079 2011267 2291571 2774007 3904158 4022534 4583142 5548014 5856237 6033801 11712474 12067602 17568711 18101403 35137422 36202806 38214073 46259141 52706133 54304209 76428146 92518282 105412266 108608418 114642219 138777423 162912627 229284438 277554846 325825254 343926657 416332269 687853314 832664538 878923679 1031779971 1248996807 1757847358 2063559942 2497993614 2636771037 2994776563 3095339913 3746990421 5273542074 5989553126 6190679826 7493980842 7910313111 8984329689 15820626222 17968659378 23730939333 26952989067 47461878666 53905978134 56900754697 68879860949 71192817999 80858967201 113801509394 137759721898 142385635998 161717934402 170702264091 206639582847 242576901603 341404528182 413279165694 485153803206 512106792273 619918748541 1024213584546 1239837497082 1308717358031 1536320376819 1859756245623 2617434716062 3072640753638 3719512491246 3926152074093 4608961130457 5579268736869 7852304148186 9217922260914 11158537473738 11778456222279 23556912444558 35335368666837 70670737333674 106006106000511 212012212001022