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21313123432200 = 23325211840624129
BaseRepresentation
bin1001101100010010110010…
…01001101011011100001000
32210110111220012212101111100
410312021121021223130020
510243143234044312300
6113155040322301400
74326552032025465
oct466113111533410
983414805771440
1021313123432200
116877932600066
122482761ab7860
13bb7a85209072
145397bc70266c
1526e60ae90700
hex13625926b708

21313123432200 has 72 divisors (see below), whose sum is σ = 71576572865850. Its totient is φ = 5683499581440.

The previous prime is 21313123432171. The next prime is 21313123432219. The reversal of 21313123432200 is 223432131312.

21313123432200 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 1 + 23 + 432 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12444794287524 + 8868329144676 = 3527718^2 + 2977974^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5920310265 + ... + 5920313864.

Almost surely, 221313123432200 is an apocalyptic number.

21313123432200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21313123432200 is an abundant number, since it is smaller than the sum of its proper divisors (50263449433650).

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

21313123432200 is a wasteful number, since it uses less digits than its factorization.

21313123432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11840624151 (or 11840624139 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 21313123432200 its reverse (223432131312), we get a palindrome (21536555563512).

The spelling of 21313123432200 in words is "twenty-one trillion, three hundred thirteen billion, one hundred twenty-three million, four hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 11840624129 23681248258 35521872387 47362496516 59203120645 71043744774 94724993032 106565617161 118406241290 142087489548 177609361935 213131234322 236812482580 284174979096 296015603225 355218723870 426262468644 473624965160 532828085805 592031206450 710437447740 852524937288 888046809675 1065656171610 1184062412900 1420874895480 1776093619350 2131312343220 2368124825800 2664140429025 3552187238700 4262624686440 5328280858050 7104374477400 10656561716100 21313123432200