Search a number
-
+
211212111222 = 233753101104383
BaseRepresentation
bin1100010010110100111…
…0010000110101110110
3202012011201211221122000
43010231032100311312
511430030300024342
6241010212320130
721155014215630
oct3045516206566
9665151757560
10211212111222
1181635804322
1234b26613046
1316bc0181608
14a319207a50
15576296144c
hex312d390d76

211212111222 has 128 divisors (see below), whose sum is σ = 551949189120. Its totient is φ = 58620931200.

The previous prime is 211212111217. The next prime is 211212111239. The reversal of 211212111222 is 222111212112.

211212111222 is a `hidden beast` number, since 211 + 21 + 211 + 1 + 222 = 666.

211212111222 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 2×2112121112222 (a number of 23 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 211212111195 and 211212111204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1971243 + ... + 2075625.

It is an arithmetic number, because the mean of its divisors is an integer number (4312103040).

Almost surely, 2211212111222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211212111222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275974594560).

211212111222 is an abundant number, since it is smaller than the sum of its proper divisors (340737077898).

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

211212111222 is a wasteful number, since it uses less digits than its factorization.

211212111222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104555 (or 104549 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 211212111222 its reverse (222111212112), we get a palindrome (433323323334).

The spelling of 211212111222 in words is "two hundred eleven billion, two hundred twelve million, one hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 101 106 126 159 189 202 303 318 371 378 477 606 707 742 909 954 1113 1414 1431 1818 2121 2226 2727 2862 3339 4242 5353 5454 6363 6678 10017 10706 12726 16059 19089 20034 32118 37471 38178 48177 74942 96354 104383 112413 144531 208766 224826 289062 313149 337239 626298 674478 730681 939447 1011717 1461362 1878894 2023434 2192043 2818341 4384086 5532299 5636682 6576129 10542683 11064598 13152258 16596897 19728387 21085366 31628049 33193794 38726093 39456774 49790691 63256098 73798781 77452186 94884147 99581382 116178279 147597562 149372073 189768294 221396343 232356558 284652441 298744146 348534837 442792686 558762199 569304882 664189029 697069674 1045604511 1117524398 1328378058 1676286597 1992567087 2091209022 3352573194 3911335393 3985134174 5028859791 7822670786 10057719582 11734006179 15086579373 23468012358 30173158746 35202018537 70404037074 105606055611 211212111222