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10131300324 = 22321489118899
BaseRepresentation
bin10010110111101111…
…10101111111100100
3222011001211101022100
421123313311333210
5131222103102244
64353152532100
7506030426505
oct113367657744
928131741270
1010131300324
114329944982
121b68b51030
13c55c6ca82
146c1780bac
153e4696b69
hex25bdf5fe4

10131300324 has 36 divisors (see below), whose sum is σ = 25612750800. Its totient is φ = 3376694640.

The previous prime is 10131300269. The next prime is 10131300359. The reversal of 10131300324 is 42300313101.

10131300324 is a `hidden beast` number, since 10 + 1 + 31 + 300 + 324 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 10131300297 and 10131300306.

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 11 ways as a sum of consecutive naturals, for example, 526627 + ... + 545525.

It is an arithmetic number, because the mean of its divisors is an integer number (711465300).

Almost surely, 210131300324 is an apocalyptic number.

It is an amenable number.

10131300324 is an abundant number, since it is smaller than the sum of its proper divisors (15481450476).

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

10131300324 is a wasteful number, since it uses less digits than its factorization.

10131300324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33800 (or 33795 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10131300324 its reverse (42300313101), we get a palindrome (52431613425).

The spelling of 10131300324 in words is "ten billion, one hundred thirty-one million, three hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 14891 18899 29782 37798 44673 56697 59564 75596 89346 113394 134019 170091 178692 226788 268038 340182 536076 680364 281425009 562850018 844275027 1125700036 1688550054 2532825081 3377100108 5065650162 10131300324