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102213012310112 = 251119109897139067
BaseRepresentation
bin10111001111011001010010…
…010010100100100001100000
3111101220110122120101220111202
4113033121102102210201200
5101344124222122410422
61001220002024500332
730346434505332434
oct2717312222444140
9441813576356452
10102213012310112
112a628327841360
12b56969701a6a8
1345058517bb362
141b351c99d49c4
15bc3bdd2a5b92
hex5cf6524a4860

102213012310112 has 96 divisors (see below), whose sum is σ = 231083421367680. Its totient is φ = 44014455751680.

The previous prime is 102213012310099. The next prime is 102213012310153. The reversal of 102213012310112 is 211013210312201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 734921603 + ... + 735060669.

It is an arithmetic number, because the mean of its divisors is an integer number (2407118972580).

Almost surely, 2102213012310112 is an apocalyptic number.

It is an amenable number.

102213012310112 is an abundant number, since it is smaller than the sum of its proper divisors (128870409057568).

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

102213012310112 is a wasteful number, since it uses less digits than its factorization.

102213012310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249004 (or 248996 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 102213012310112 its reverse (211013210312201), we get a palindrome (313226222622313).

The spelling of 102213012310112 in words is "one hundred two trillion, two hundred thirteen billion, twelve million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 3344 6688 109897 139067 219794 278134 439588 556268 879176 1112536 1208867 1529737 1758352 2088043 2225072 2417734 2642273 3059474 3516704 4176086 4450144 4835468 5284546 6118948 8352172 9670936 10569092 12237896 16704344 19341872 21138184 22968473 24475792 29065003 33408688 38683744 42276368 45936946 48951584 58130006 66817376 84552736 91873892 116260012 183747784 232520024 367495568 465040048 734991136 930080096 15283046099 30566092198 61132184396 122264368792 168113507089 244528737584 290377875881 336227014178 489057475168 580755751762 672454028356 1161511503524 1344908056712 2323023007048 2689816113424 3194156634691 4646046014096 5379632226848 6388313269382 9292092028192 12776626538764 25553253077528 51106506155056 102213012310112