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201213212310 = 232511283222613
BaseRepresentation
bin1011101101100100111…
…1011111011010010110
3201020100220011020220200
42323121033133122112
511244041040243220
6232234105241330
720352152041065
oct2733117373226
9636326136820
10201213212310
1178374681600
1232bb5a93246
1315c8878b396
149a4b2901dc
155379c1e890
hex2ed93df696

201213212310 has 144 divisors (see below), whose sum is σ = 581968204272. Its totient is φ = 48191045760.

The previous prime is 201213212293. The next prime is 201213212327. The reversal of 201213212310 is 13212312102.

201213212310 is a `hidden beast` number, since 20 + 12 + 1 + 321 + 2 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (201213212293) and next prime (201213212327).

It is a super-2 number, since 2×2012132123102 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 792564 + ... + 1015176.

It is an arithmetic number, because the mean of its divisors is an integer number (4041445863).

Almost surely, 2201213212310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201213212310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290984102136).

201213212310 is an abundant number, since it is smaller than the sum of its proper divisors (380754991962).

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

201213212310 is a wasteful number, since it uses less digits than its factorization.

201213212310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222731 (or 222717 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201213212310 its reverse (13212312102), we get a palindrome (214425524412).

The spelling of 201213212310 in words is "two hundred one billion, two hundred thirteen million, two hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 83 90 99 110 121 165 166 198 242 249 330 363 415 495 498 605 726 747 830 913 990 1089 1210 1245 1494 1815 1826 2178 2490 2739 3630 3735 4565 5445 5478 7470 8217 9130 10043 10890 13695 16434 20086 27390 30129 41085 50215 60258 82170 90387 100430 150645 180774 222613 301290 445226 451935 667839 903870 1113065 1335678 2003517 2226130 2448743 3339195 4007034 4897486 6678390 7346229 10017585 12243715 14692458 18476879 20035170 22038687 24487430 26936173 36731145 36953758 44077374 53872346 55430637 73462290 80808519 92384395 110193435 110861274 134680865 161617038 166291911 184768790 203245669 220386870 242425557 269361730 277153185 332583822 404042595 406491338 484851114 554306370 609737007 808085190 831459555 1016228345 1212127785 1219474014 1662919110 1829211021 2032456690 2235702359 2424255570 3048685035 3658422042 4471404718 6097370070 6707107077 9146055105 11178511795 13414214154 18292110210 20121321231 22357023590 33535535385 40242642462 67071070770 100606606155 201213212310