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123032131031331 = 3341167665509799
BaseRepresentation
bin11011111110010110100110…
…011101110101000100100011
3121010121202102202020211012000
4123332112212131311010203
5112111224301021000311
61113400103011535043
734625530620536364
oct3376264635650443
9533552382224160
10123032131031331
11362246a7587335
121197054b8ba483
135385b59986042
142254b03417b6b
15e35534b1a056
hex6fe5a6775123

123032131031331 has 32 divisors (see below), whose sum is σ = 187833485952000. Its totient is φ = 79541731056960.

The previous prime is 123032131031269. The next prime is 123032131031363. The reversal of 123032131031331 is 133130131230321.

123032131031331 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 3 + 2 + 1 + 310 + 313 + 31 = 666.

It is not a de Polignac number, because 123032131031331 - 215 = 123032130998563 is a prime.

It is a super-2 number, since 2×1230321310313312 (a number of 29 digits) contains 22 as substring.

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 = 123032131031295 and 123032131031304.

It is not an unprimeable number, because it can be changed into a prime (123032131032331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332570031 + ... + 332939768.

It is an arithmetic number, because the mean of its divisors is an integer number (5869796436000).

Almost surely, 2123032131031331 is an apocalyptic number.

123032131031331 is a deficient number, since it is larger than the sum of its proper divisors (64801354920669).

123032131031331 is a wasteful number, since it uses less digits than its factorization.

123032131031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665510016 (or 665510010 counting only the distinct ones).

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

Adding to 123032131031331 its reverse (133130131230321), we get a palindrome (256162262261652).

The spelling of 123032131031331 in words is "one hundred twenty-three trillion, thirty-two billion, one hundred thirty-one million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 41 123 167 369 501 1107 1503 4509 6847 20541 61623 184869 665509799 1996529397 5989588191 17968764573 27285901759 81857705277 111140136433 245573115831 333420409299 736719347493 1000261227897 3000783683691 4556745593753 13670236781259 41010710343777 123032131031331