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131132240334100 = 22521311322403341
BaseRepresentation
bin11101110100001110011010…
…100110101000110100010100
3122012022010020021221201111201
4131310032122212220310110
5114141432312011142400
61142521153005442244
736422664105563245
oct3564163246506424
9565263207851451
10131132240334100
1138867964070435
121285a381b70384
135822942909815
142454b9744accc
1510260b56ab06a
hex77439a9a8d14

131132240334100 has 18 divisors (see below), whose sum is σ = 284556961525214. Its totient is φ = 52452896133600.

The previous prime is 131132240334079. The next prime is 131132240334119. The reversal of 131132240334100 is 1433042231131.

It can be written as a sum of positive squares in 3 ways, for example, as 168523386256 + 130963716947844 = 410516^2 + 11443938^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 655661201571 + ... + 655661201770.

Almost surely, 2131132240334100 is an apocalyptic number.

131132240334100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131132240334100 is an abundant number, since it is smaller than the sum of its proper divisors (153424721191114).

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

131132240334100 is a wasteful number, since it uses less digits than its factorization.

131132240334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311322403355 (or 1311322403348 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 131132240334100 its reverse (1433042231131), we get a palindrome (132565282565231).

The spelling of 131132240334100 in words is "one hundred thirty-one trillion, one hundred thirty-two billion, two hundred forty million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1311322403341 2622644806682 5245289613364 6556612016705 13113224033410 26226448066820 32783060083525 65566120167050 131132240334100