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131407351673 = 1361316489817
BaseRepresentation
bin111101001100001111…
…1010000111101111001
3110120012000010010011212
41322120133100331321
54123110240223143
6140211231332505
712331253026313
oct1723037207571
9416160103155
10131407351673
115080302a294
1221574081135
13c5126285c0
1465083727b3
1536416ab918
hex1e987d0f79

131407351673 has 8 divisors (see below), whose sum is σ = 141746475528. Its totient is φ = 121101208704.

The previous prime is 131407351667. The next prime is 131407351711. The reversal of 131407351673 is 376153704131.

It can be written as a sum of positive squares in 4 ways, for example, as 1369222009 + 130038129664 = 37003^2 + 360608^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 131407351673 - 220 = 131406303097 is a prime.

It is a super-2 number, since 2×1314073516732 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131407351673.

It is not an unprimeable number, because it can be changed into a prime (131407351643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8236940 + ... + 8252877.

It is an arithmetic number, because the mean of its divisors is an integer number (17718309441).

Almost surely, 2131407351673 is an apocalyptic number.

131407351673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131407351673 is a deficient number, since it is larger than the sum of its proper divisors (10339123855).

131407351673 is a wasteful number, since it uses less digits than its factorization.

131407351673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16490443.

The product of its (nonzero) digits is 158760, while the sum is 41.

The spelling of 131407351673 in words is "one hundred thirty-one billion, four hundred seven million, three hundred fifty-one thousand, six hundred seventy-three".

Divisors: 1 13 613 7969 16489817 214367621 10108257821 131407351673