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130442311131 = 31110139136607
BaseRepresentation
bin111100101111011110…
…1111011010111011011
3110110200202012222102120
41321132331323113123
54114121212424011
6135531355232323
712265324231116
oct1713675732733
9413622188376
10130442311131
1150358314020
1221344a486a3
13c3ba70b8b2
14645612557d
1535d6ad3a06
hex1e5ef7b5db

130442311131 has 16 divisors (see below), whose sum is σ = 191612832768. Its totient is φ = 78273212000.

The previous prime is 130442311081. The next prime is 130442311133. The reversal of 130442311131 is 131113244031.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 130442311131 - 27 = 130442311003 is a prime.

It is a super-2 number, since 2×1304423111312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130442311133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19564971 + ... + 19571636.

It is an arithmetic number, because the mean of its divisors is an integer number (11975802048).

Almost surely, 2130442311131 is an apocalyptic number.

130442311131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130442311131 is a deficient number, since it is larger than the sum of its proper divisors (61170521637).

130442311131 is a wasteful number, since it uses less digits than its factorization.

130442311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39136722.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 130442311131 its reverse (131113244031), we get a palindrome (261555555162).

The spelling of 130442311131 in words is "one hundred thirty billion, four hundred forty-two million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 11 33 101 303 1111 3333 39136607 117409821 430502677 1291508031 3952797307 11858391921 43480770377 130442311131