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20131323133230 = 233574560456049
BaseRepresentation
bin1001001001111001100000…
…10111010011110100101110
32122021112110112002212212000
410210330300113103310232
510114312422210230410
6110452111400353130
74145303645155341
oct444746027236456
978245415085760
1020131323133230
1164617120a4801
1223117034757a6
13b304b6332b2a
144d850b34a458
1524d9dde58dc0
hex124f305d3d2e

20131323133230 has 32 divisors (see below), whose sum is σ = 53683528356000. Its totient is φ = 5368352835456.

The previous prime is 20131323133183. The next prime is 20131323133241. The reversal of 20131323133230 is 3233132313102.

20131323133230 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 1 + 323 + 1 + 332 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20131323133194 and 20131323133203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37280227755 + ... + 37280228294.

It is an arithmetic number, because the mean of its divisors is an integer number (1677610261125).

Almost surely, 220131323133230 is an apocalyptic number.

20131323133230 is an abundant number, since it is smaller than the sum of its proper divisors (33552205222770).

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

20131323133230 is a wasteful number, since it uses less digits than its factorization.

20131323133230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74560456065 (or 74560456059 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 20131323133230 its reverse (3233132313102), we get a palindrome (23364455446332).

The spelling of 20131323133230 in words is "twenty trillion, one hundred thirty-one billion, three hundred twenty-three million, one hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 74560456049 149120912098 223681368147 372802280245 447362736294 671044104441 745604560490 1118406840735 1342088208882 2013132313323 2236813681470 3355220522205 4026264626646 6710441044410 10065661566615 20131323133230