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103233123131130 = 23251147034701457
BaseRepresentation
bin10111011110001111010101…
…101000100001111011111010
3111112111222201211212220002200
4113132033111220201323322
5102012332414010144010
61003320350404011030
730513230012256636
oct2736172550417372
9445458654786080
10103233123131130
112a990a157a8793
12b6b3330090a76
13457aac33c3795
141b6c71cd2ddc6
15be04e5378cc0
hex5de3d5a21efa

103233123131130 has 24 divisors (see below), whose sum is σ = 268406120141172. Its totient is φ = 27528832834944.

The previous prime is 103233123131093. The next prime is 103233123131137. The reversal of 103233123131130 is 31131321332301.

103233123131130 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 3 + 312 + 3 + 1 + 311 + 30 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94793999360841 + 8439123770289 = 9736221^2 + 2905017^2 .

It is a super-2 number, since 2×1032331231311302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103233123131094 and 103233123131103.

It is not an unprimeable number, because it can be changed into a prime (103233123131137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 573517350639 + ... + 573517350818.

Almost surely, 2103233123131130 is an apocalyptic number.

103233123131130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103233123131130 is an abundant number, since it is smaller than the sum of its proper divisors (165172997010042).

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

103233123131130 is a wasteful number, since it uses less digits than its factorization.

103233123131130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147034701470 (or 1147034701467 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 103233123131130 its reverse (31131321332301), we get a palindrome (134364444463431).

The spelling of 103233123131130 in words is "one hundred three trillion, two hundred thirty-three billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1147034701457 2294069402914 3441104104371 5735173507285 6882208208742 10323312313113 11470347014570 17205520521855 20646624626226 34411041043710 51616561565565 103233123131130