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130142241031 = 1121763267983
BaseRepresentation
bin111100100110100010…
…1010000000100000111
3110102220211120211122011
41321031011100010013
54113012403203111
6135441515515051
712255021540145
oct1711505200407
9412824524564
10130142241031
11502139a1a00
1221280458a87
13c3704b7c1a
146428334595
1535ba5ae021
hex1e4d150107

130142241031 has 12 divisors (see below), whose sum is σ = 151463553696. Its totient is φ = 111351648320.

The previous prime is 130142241029. The next prime is 130142241067.

130142241031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130142241031 - 21 = 130142241029 is a prime.

It is a super-2 number, since 2×1301422410312 (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 = 130142240993 and 130142241011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130142241001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31631935 + ... + 31636048.

It is an arithmetic number, because the mean of its divisors is an integer number (12621962808).

Almost surely, 2130142241031 is an apocalyptic number.

130142241031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130142241031 is a deficient number, since it is larger than the sum of its proper divisors (21321312665).

130142241031 is a wasteful number, since it uses less digits than its factorization.

130142241031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63268022 (or 63268011 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 130142 and 241031, that added together give a palindrome (371173).

The spelling of 130142241031 in words is "one hundred thirty billion, one hundred forty-two million, two hundred forty-one thousand, thirty-one".

Divisors: 1 11 17 121 187 2057 63267983 695947813 1075555711 7655425943 11831112821 130142241031