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131325016752 = 2432911979283
BaseRepresentation
bin111101001001110010…
…1001011101010110000
3110112222021012001220100
41322103211023222300
54122423201014002
6140155130512400
712326233136646
oct1722345135260
9415867161810
10131325016752
11507706038a6
1221550595700
13c4cb55b507
1464db45d196
15363934611c
hex1e9394bab0

131325016752 has 30 divisors (see below), whose sum is σ = 367527651452. Its totient is φ = 43775005536.

The previous prime is 131325016741. The next prime is 131325016763. The reversal of 131325016752 is 257610523131.

131325016752 is a `hidden beast` number, since 13 + 1 + 32 + 501 + 67 + 52 = 666.

131325016752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (131325016741) and next prime (131325016763).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 455989498 + ... + 455989785.

Almost surely, 2131325016752 is an apocalyptic number.

131325016752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131325016752 is an abundant number, since it is smaller than the sum of its proper divisors (236202634700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131325016752 is a wasteful number, since it uses less digits than its factorization.

131325016752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911979297 (or 911979288 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Adding to 131325016752 its reverse (257610523131), we get a palindrome (388935539883).

The spelling of 131325016752 in words is "one hundred thirty-one billion, three hundred twenty-five million, sixteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 911979283 1823958566 2735937849 3647917132 5471875698 7295834264 8207813547 10943751396 14591668528 16415627094 21887502792 32831254188 43775005584 65662508376 131325016752