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130031130131 = 72326129437
BaseRepresentation
bin111100100011001110…
…1011001011000010011
3110102122002111211010122
41321012131121120103
54112300432131011
6135422510220455
712252202240520
oct1710635313023
9412562454118
10130031130131
1150167201711
122124b1b472b
13c353484026
146417690147
1535b09623db
hex1e46759613

130031130131 has 36 divisors (see below), whose sum is σ = 157954292496. Its totient is φ = 104850567360.

The previous prime is 130031130127. The next prime is 130031130133. The reversal of 130031130131 is 131031130031.

It is not a de Polignac number, because 130031130131 - 22 = 130031130127 is a prime.

It is a super-2 number, since 2×1300311301312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130031130133) 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 35 ways as a sum of consecutive naturals, for example, 13774145 + ... + 13783581.

It is an arithmetic number, because the mean of its divisors is an integer number (4387619236).

Almost surely, 2130031130131 is an apocalyptic number.

130031130131 is a deficient number, since it is larger than the sum of its proper divisors (27923162365).

130031130131 is an frugal number, since it uses more digits than its factorization.

130031130131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9612 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 130031130131 its reverse (131031130031), we get a palindrome (261062260162).

The spelling of 130031130131 in words is "one hundred thirty billion, thirty-one million, one hundred thirty thousand, one hundred thirty-one".

Divisors: 1 7 23 61 161 427 529 1403 3703 3721 9437 9821 26047 32269 66059 85583 217051 225883 575657 599081 1519357 1968409 4029599 4992173 13240111 13778863 34945211 35115077 92680777 245805539 304522553 807646771 2131657871 5653527397 18575875733 130031130131