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130232002131 = 32711775324239
BaseRepresentation
bin111100101001001101…
…1101010011001010011
3110110011002111011201100
41321102123222121103
54113203343032011
6135454443435443
712260161516260
oct1712233523123
9413132434640
10130232002131
115025a62a830
12212a6525b83
13c385c851ba
14643621c267
1535c33ded56
hex1e526ea653

130232002131 has 48 divisors (see below), whose sum is σ = 234570286080. Its totient is φ = 67641471360.

The previous prime is 130232002127. The next prime is 130232002183. The reversal of 130232002131 is 131200232031.

130232002131 is a `hidden beast` number, since 130 + 2 + 320 + 0 + 213 + 1 = 666.

It is not a de Polignac number, because 130232002131 - 22 = 130232002127 is a prime.

It is a super-2 number, since 2×1302320021312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130232002031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5360710 + ... + 5384948.

It is an arithmetic number, because the mean of its divisors is an integer number (4886880960).

Almost surely, 2130232002131 is an apocalyptic number.

130232002131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130232002131 is a deficient number, since it is larger than the sum of its proper divisors (104338283949).

130232002131 is a wasteful number, since it uses less digits than its factorization.

130232002131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32016 (or 32013 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130232002131 its reverse (131200232031), we get a palindrome (261432234162).

The spelling of 130232002131 in words is "one hundred thirty billion, two hundred thirty-two million, two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 7753 23259 24239 54271 69777 72717 85283 162813 169673 218151 255849 266629 488439 509019 596981 767547 799887 1527057 1790943 1866403 2399661 5372829 5599209 16797627 187924967 563774901 1315474769 1691324703 2067174637 3946424307 6201523911 11839272921 14470222459 18604571733 43410667377 130232002131