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102312032111112 = 233127173656929537
BaseRepresentation
bin10111010000110101100000…
…010101001000101000001000
3111102020221020102121222111210
4113100311200111020220020
5101402240020210023422
61001333255414453120
730356541350630055
oct2720654025105010
9442227212558453
10102312032111112
112a66631a94843a
12b5849106641a0
134511ca2204595
141b39d007c002c
15bc658642110c
hex5d0d60548a08

102312032111112 has 128 divisors (see below), whose sum is σ = 259332486451200. Its totient is φ = 33633634664448.

The previous prime is 102312032111053. The next prime is 102312032111119. The reversal of 102312032111112 is 211111230213201.

It is not an unprimeable number, because it can be changed into a prime (102312032111119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3463845208 + ... + 3463874744.

It is an arithmetic number, because the mean of its divisors is an integer number (2026035050400).

Almost surely, 2102312032111112 is an apocalyptic number.

102312032111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102312032111112 is an abundant number, since it is smaller than the sum of its proper divisors (157020454340088).

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

102312032111112 is a wasteful number, since it uses less digits than its factorization.

102312032111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36415 (or 36411 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 102312032111112 its reverse (211111230213201), we get a palindrome (313423262324313).

The spelling of 102312032111112 in words is "one hundred two trillion, three hundred twelve billion, thirty-two million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 127 173 254 346 381 508 519 692 762 1016 1038 1384 1524 2076 3048 4152 6569 13138 19707 21971 26276 29537 39414 43942 52552 59074 65913 78828 87884 88611 118148 131826 157656 175768 177222 236296 263652 354444 527304 708888 834263 1136437 1668526 2272874 2502789 3337052 3409311 3751199 4545748 5005578 5109901 6674104 6818622 7502398 9091496 10011156 10219802 11253597 13637244 15004796 15329703 20022312 20439604 22507194 27274488 30009592 30659406 40879208 45014388 61318812 90028776 122637624 144327499 194028553 288654998 388057106 432982497 577309996 582085659 648957427 776114212 865964994 1154619992 1164171318 1297914854 1552228424 1731929988 1946872281 2328342636 2595829708 3463859976 3893744562 4656685272 5191659416 7787489124 15574978248 24641626231 33566939669 49283252462 67133879338 73924878693 98566504924 100700819007 134267758676 147849757386 197133009848 201401638014 268535517352 295699514772 402803276028 591399029544 805606552056 4263001337963 8526002675926 12789004013889 17052005351852 25578008027778 34104010703704 51156016055556 102312032111112