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131130111329 = 724635779967
BaseRepresentation
bin111101000011111110…
…1101011010101100001
3110112110200102211220222
41322013331223111201
54122023302030304
6140123525212425
712321345361400
oct1720775532541
9415420384828
10131130111329
1150680590538
12214b7261115
13c49a069069
1464bd605637
1536271964be
hex1e87f6b561

131130111329 has 12 divisors (see below), whose sum is σ = 152868593664. Its totient is φ = 112154460264.

The previous prime is 131130111311. The next prime is 131130111341. The reversal of 131130111329 is 923111031131.

It is a de Polignac number, because none of the positive numbers 2k-131130111329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131130111298 and 131130111307.

It is not an unprimeable number, because it can be changed into a prime (131130116329) 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, 2867297 + ... + 2912670.

It is an arithmetic number, because the mean of its divisors is an integer number (12739049472).

Almost surely, 2131130111329 is an apocalyptic number.

It is an amenable number.

131130111329 is a deficient number, since it is larger than the sum of its proper divisors (21738482335).

131130111329 is an equidigital number, since it uses as much as digits as its factorization.

131130111329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5780444 (or 5780437 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 26.

The spelling of 131130111329 in words is "one hundred thirty-one billion, one hundred thirty million, one hundred eleven thousand, three hundred twenty-nine".

Divisors: 1 7 49 463 3241 22687 5779967 40459769 283218383 2676124721 18732873047 131130111329