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102001011113012 = 2211171609515316447
BaseRepresentation
bin10111001100010011110110…
…000010001011110000110100
3111101011012102211202020112212
4113030103312002023300310
5101332141032321104022
61000534341223232552
730325221100024544
oct2714236602136064
9441135384666485
10102001011113012
112a556427681150
12b5345902a8758
1344bb86700882b
141b28c37aa3324
15bbd4314263e2
hex5cc4f608bc34

102001011113012 has 96 divisors (see below), whose sum is σ = 206364589885440. Its totient is φ = 43598561771520.

The previous prime is 102001011113011. The next prime is 102001011113041. The reversal of 102001011113012 is 210311110100201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001011113011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6201792173 + ... + 6201808619.

It is an arithmetic number, because the mean of its divisors is an integer number (2149631144640).

Almost surely, 2102001011113012 is an apocalyptic number.

It is an amenable number.

102001011113012 is an abundant number, since it is smaller than the sum of its proper divisors (104363578772428).

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

102001011113012 is a wasteful number, since it uses less digits than its factorization.

102001011113012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23241 (or 23239 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 102001011113012 its reverse (210311110100201), we get a palindrome (312312121213213).

The spelling of 102001011113012 in words is "one hundred two trillion, one billion, eleven million, one hundred thirteen thousand, twelve".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 748 1609 3218 5153 6436 10306 16447 17699 20612 27353 32894 35398 54706 56683 65788 70796 87601 109412 113366 175202 180917 226732 279599 300883 350404 361834 559198 601766 723668 963611 1118396 1203532 1927222 3075589 3854444 6151178 8291177 12302356 16582354 26463223 33164708 52926446 84751391 91202947 105852892 140950009 169502782 182405894 281900018 291095453 339005564 364811788 449874791 563800036 582190906 899749582 932265301 1164381812 1440773647 1550450099 1799499164 1864530602 2881547294 3100900198 3729061204 4948622701 5763094588 6201800396 9897245402 15848510117 19794490804 31697020234 63394040468 136364988119 272729976238 545459952476 1500014869309 2318204798023 3000029738618 4636409596046 6000059477236 9272819192092 25500252778253 51000505556506 102001011113012