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113131023210 = 23257571660517
BaseRepresentation
bin110100101011100100…
…0100110101101101010
3101211000021222102202200
41221113020212231222
53323143020220320
6123545514241030
711113330555002
oct1512710465552
9354007872680
10113131023210
1143a845711a7
1219b13426176
13a88c09786a
145692d75002
152e21e1d290
hex1a57226b6a

113131023210 has 48 divisors (see below), whose sum is σ = 294529398696. Its totient is φ = 30128402304.

The previous prime is 113131023193. The next prime is 113131023211. The reversal of 113131023210 is 12320131311.

113131023210 is a `hidden beast` number, since 1 + 1 + 31 + 310 + 2 + 321 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71592099489 + 41538923721 = 267567^2 + 203811^2 .

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 (113131023211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 762129 + ... + 898388.

Almost surely, 2113131023210 is an apocalyptic number.

113131023210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113131023210 is an abundant number, since it is smaller than the sum of its proper divisors (181398375486).

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

113131023210 is a wasteful number, since it uses less digits than its factorization.

113131023210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661287 (or 1661284 counting only the distinct ones).

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

Adding to 113131023210 its reverse (12320131311), we get a palindrome (125451154521).

The spelling of 113131023210 in words is "one hundred thirteen billion, one hundred thirty-one million, twenty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 757 1514 2271 3785 4542 6813 7570 11355 13626 22710 34065 68130 1660517 3321034 4981551 8302585 9963102 14944653 16605170 24907755 29889306 49815510 74723265 149446530 1257011369 2514022738 3771034107 6285056845 7542068214 11313102321 12570113690 18855170535 22626204642 37710341070 56565511605 113131023210