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102300100321122 = 233111710130728889
BaseRepresentation
bin10111010000101010011001…
…001000111101111101100010
3111102012210102212212020201000
4113100222121020331331202
5101402041101140233442
61001324003423052430
730355636565243244
oct2720523110757542
9442183385766630
10102300100321122
112a661257744a80
12b582540741116
134510b20232912
141b394cbc7a094
15bc60d8b75d4c
hex5d0a9923df62

102300100321122 has 64 divisors (see below), whose sum is σ = 262588492828800. Its totient is φ = 29176499197440.

The previous prime is 102300100321117. The next prime is 102300100321147. The reversal of 102300100321122 is 221123001003201.

102300100321122 is a `hidden beast` number, since 1 + 0 + 230 + 0 + 100 + 321 + 12 + 2 = 666.

102300100321122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102300100321095 and 102300100321104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5065354347 + ... + 5065374542.

It is an arithmetic number, because the mean of its divisors is an integer number (4102945200450).

Almost surely, 2102300100321122 is an apocalyptic number.

102300100321122 is an abundant number, since it is smaller than the sum of its proper divisors (160288392507678).

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

102300100321122 is a wasteful number, since it uses less digits than its factorization.

102300100321122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10130728928 (or 10130728922 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102300100321122 its reverse (221123001003201), we get a palindrome (323423101324323).

The spelling of 102300100321122 in words is "one hundred two trillion, three hundred billion, one hundred million, three hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 10098 10130728889 20261457778 30392186667 60784373334 91176560001 111438017779 172222391113 182353120002 222876035558 273529680003 334314053337 344444782226 516667173339 547059360006 668628106674 1002942160011 1033334346678 1550001520017 1894446302243 2005884320022 3008826480033 3100003040034 3788892604486 4650004560051 5683338906729 6017652960066 9300009120102 11366677813458 17050016720187 34100033440374 51150050160561 102300100321122