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213102102314232 = 233222342131525957
BaseRepresentation
bin110000011101000010110011…
…000110111111110011111000
31000221112100202220122120001200
4300131002303012333303320
5210412431101143023412
62033121430533014200
762613055516410555
oct6035026306776370
91027470686576050
10213102102314232
11619a0104217a1a
121ba98746a84360
1391ba599175041
143a8a2a7d99a2c
15199841c2d39dc
hexc1d0b31bfcf8

213102102314232 has 96 divisors (see below), whose sum is σ = 581116722775680. Its totient is φ = 70547523298560.

The previous prime is 213102102314221. The next prime is 213102102314239. The reversal of 213102102314232 is 232413201201312.

213102102314232 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 0 + 2 + 1 + 0 + 231 + 423 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 213102102314196 and 213102102314205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213102102314239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9003403 + ... + 22522554.

It is an arithmetic number, because the mean of its divisors is an integer number (6053299195580).

Almost surely, 2213102102314232 is an apocalyptic number.

It is an amenable number.

213102102314232 is an abundant number, since it is smaller than the sum of its proper divisors (368014620461448).

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

213102102314232 is a wasteful number, since it uses less digits than its factorization.

213102102314232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31526613 (or 31526606 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 213102102314232 its reverse (232413201201312), we get a palindrome (445515303515544).

The spelling of 213102102314232 in words is "two hundred thirteen trillion, one hundred two billion, one hundred two million, three hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 223 421 446 669 842 892 1263 1338 1684 1784 2007 2526 2676 3368 3789 4014 5052 5352 7578 8028 10104 15156 16056 30312 93883 187766 281649 375532 563298 751064 844947 1126596 1689894 2253192 3379788 6759576 31525957 63051914 94577871 126103828 189155742 252207656 283733613 378311484 567467226 756622968 1134934452 2269868904 7030288411 13272427897 14060576822 21090865233 26544855794 28121153644 39817283691 42181730466 53089711588 56242307288 63272595699 79634567382 84363460932 106179423176 119451851073 126545191398 159269134764 168726921864 238903702146 253090382796 318538269528 477807404292 506180765592 955614808584 2959751421031 5919502842062 8879254263093 11839005684124 17758508526186 23678011368248 26637762789279 35517017052372 53275525578558 71034034104744 106551051157116 213102102314232