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102110122113032 = 23113154796831611
BaseRepresentation
bin10111001101111001011101…
…100011100111100000001000
3111101112122001222100100012202
4113031321131203213200020
5101340433012230104112
61001100424214455332
730336133005152405
oct2715713543474010
9441478058310182
10102110122113032
112a598728a22430
12b551761364548
1344c8c35290b37
141b30228b912ac
15bc11ba4666c2
hex5cde5d8e7808

102110122113032 has 64 divisors (see below), whose sum is σ = 215638466457600. Its totient is φ = 44908271496000.

The previous prime is 102110122113029. The next prime is 102110122113049. The reversal of 102110122113032 is 230311221011201.

It is a junction number, because it is equal to n+sod(n) for n = 102110122112995 and 102110122113013.

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, 11530907 + ... + 18362517.

It is an arithmetic number, because the mean of its divisors is an integer number (3369351038400).

Almost surely, 2102110122113032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102110122113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107819233228800).

102110122113032 is an abundant number, since it is smaller than the sum of its proper divisors (113528344344568).

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

102110122113032 is a wasteful number, since it uses less digits than its factorization.

102110122113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837138 (or 6837134 counting only the distinct ones).

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

Adding to 102110122113032 its reverse (230311221011201), we get a palindrome (332421343124233).

The spelling of 102110122113032 in words is "one hundred two trillion, one hundred ten billion, one hundred twenty-two million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 2728 5479 10958 21916 43832 60269 120538 169849 241076 339698 482152 679396 1358792 1868339 3736678 6831611 7473356 13663222 14946712 27326444 54652888 75147721 150295442 211779941 300590884 423559882 601181768 847119764 1694239528 2329579351 4659158702 9318317404 18636634808 37430396669 74860793338 149721586676 299443173352 411734363359 823468726718 1160342296739 1646937453436 2320684593478 3293874906872 4641369186956 9282738373912 12763765264129 25527530528258 51055061056516 102110122113032