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10131331104 = 253235178233
BaseRepresentation
bin10010110111101111…
…11101100000100000
3222011001212221112100
421123313331200200
5131222110043404
64353153330400
7506030615316
oct113367754040
928131787470
1010131331104
114329966014
121b68b66a00
13c55c80a9b
146c178c0b6
153e46a0d39
hex25bdfd820

10131331104 has 36 divisors (see below), whose sum is σ = 28810973646. Its totient is φ = 3377110272.

The previous prime is 10131331103. The next prime is 10131331151. The reversal of 10131331104 is 40113313101.

It can be written as a sum of positive squares in only one way, i.e., 7917440400 + 2213890704 = 88980^2 + 47052^2 .

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 not an unprimeable number, because it can be changed into a prime (10131331103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17588829 + ... + 17589404.

Almost surely, 210131331104 is an apocalyptic number.

It is an amenable number.

10131331104 is an abundant number, since it is smaller than the sum of its proper divisors (18679642542).

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

10131331104 is a wasteful number, since it uses less digits than its factorization.

10131331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35178249 (or 35178238 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10131331104 its reverse (40113313101), we get a palindrome (50244644205).

The spelling of 10131331104 in words is "ten billion, one hundred thirty-one million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35178233 70356466 105534699 140712932 211069398 281425864 316604097 422138796 562851728 633208194 844277592 1125703456 1266416388 1688555184 2532832776 3377110368 5065665552 10131331104