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123130132331031 = 3278570322804879
BaseRepresentation
bin11011111111110001110111…
…110011000111101000010111
3121010222010101121222200001200
4123333301313303013220113
5112114331002334043111
61113513111335523543
734635600315045330
oct3377616763075027
9533863347880050
10123130132331031
1136262217783301
12119875402295b3
135392177384b87
14225975cc3b287
15e37d6d64c256
hex6ffc77cc7a17

123130132331031 has 24 divisors (see below), whose sum is σ = 203264821294080. Its totient is φ = 70359251556816.

The previous prime is 123130132331029. The next prime is 123130132331047. The reversal of 123130132331031 is 130133231031321.

123130132331031 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 301 + 323 + 3 + 1 + 0 + 31 = 666.

It is not a de Polignac number, because 123130132331031 - 21 = 123130132331029 is a prime.

It is a super-2 number, since 2×1231301323310312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123130132330986 and 123130132331004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123130132331231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6003151 + ... + 16801728.

It is an arithmetic number, because the mean of its divisors is an integer number (8469367553920).

Almost surely, 2123130132331031 is an apocalyptic number.

123130132331031 is a deficient number, since it is larger than the sum of its proper divisors (80134688963049).

123130132331031 is a wasteful number, since it uses less digits than its factorization.

123130132331031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22890595 (or 22890592 counting only the distinct ones).

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

Adding to 123130132331031 its reverse (130133231031321), we get a palindrome (253263363362352).

The spelling of 123130132331031 in words is "one hundred twenty-three trillion, one hundred thirty billion, one hundred thirty-two million, three hundred thirty-one thousand, thirty-one".

Divisors: 1 3 7 9 21 63 85703 257109 599921 771327 1799763 5399289 22804879 68414637 159634153 205243911 478902459 1436707377 1954446544937 5863339634811 13681125814559 17590018904433 41043377443677 123130132331031