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130313110031 = 1310796792
BaseRepresentation
bin111100101011101000…
…1000100001000001111
3110110100202002212211122
41321113101010020033
54113340124010111
6135510502111155
712262165105406
oct1712721041017
9413322085748
10130313110031
11502a1398355
122130971b4bb
13c399a12940
146442cd263d
1535ca5b1cdb
hex1e5744420f

130313110031 has 12 divisors (see below), whose sum is σ = 141663394152. Its totient is φ = 119152516464.

The previous prime is 130313110007. The next prime is 130313110043. The reversal of 130313110031 is 130011313031.

It is not a de Polignac number, because 130313110031 - 222 = 130308915727 is a prime.

It is a super-2 number, since 2×1303131100312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130313109991 and 130313110009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130313110831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13458650 + ... + 13468328.

It is an arithmetic number, because the mean of its divisors is an integer number (11805282846).

Almost surely, 2130313110031 is an apocalyptic number.

130313110031 is a deficient number, since it is larger than the sum of its proper divisors (11350284121).

130313110031 is an frugal number, since it uses more digits than its factorization.

130313110031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19478 (or 9799 counting only the distinct ones).

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

Adding to 130313110031 its reverse (130011313031), we get a palindrome (260324423062).

The spelling of 130313110031 in words is "one hundred thirty billion, three hundred thirteen million, one hundred ten thousand, thirty-one".

Divisors: 1 13 107 1391 9679 125827 1035653 13463489 93683041 1217879533 10024085387 130313110031