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131330607473 = 1329348357049
BaseRepresentation
bin111101001001111101…
…0100000100101110001
3110112222122201002221002
41322103322200211301
54122431113414343
6140155450411345
712326331513302
oct1722372404561
9415878632832
10131330607473
115077378222a
1221552430b55
13c4cc768130
1464dc0b67a9
153639a9c8b8
hex1e93ea0971

131330607473 has 8 divisors (see below), whose sum is σ = 146309961000. Its totient is φ = 117047968128.

The previous prime is 131330607461. The next prime is 131330607497. The reversal of 131330607473 is 374706033131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9168784 + 131321438689 = 3028^2 + 362383^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131330607473 - 220 = 131329558897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131330607403) 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 7 ways as a sum of consecutive naturals, for example, 174178148 + ... + 174178901.

It is an arithmetic number, because the mean of its divisors is an integer number (18288745125).

Almost surely, 2131330607473 is an apocalyptic number.

131330607473 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131330607473 is a deficient number, since it is larger than the sum of its proper divisors (14979353527).

131330607473 is a wasteful number, since it uses less digits than its factorization.

131330607473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348357091.

The product of its (nonzero) digits is 95256, while the sum is 38.

The spelling of 131330607473 in words is "one hundred thirty-one billion, three hundred thirty million, six hundred seven thousand, four hundred seventy-three".

Divisors: 1 13 29 377 348357049 4528641637 10102354421 131330607473