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131283216 = 2432911689
BaseRepresentation
bin1111101001100…
…11100100010000
3100011000212201100
413310303210100
5232102030331
621005504400
73152613621
oct764634420
9304025640
10131283216
1168119029
1237b72100
132127789c
1413615a48
15b7d3ae6
hex7d33910

131283216 has 30 divisors (see below), whose sum is σ = 367411070. Its totient is φ = 43761024.

The previous prime is 131283211. The next prime is 131283223. The reversal of 131283216 is 612382131.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 108243216 + 23040000 = 10404^2 + 4800^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131283216.

It is not an unprimeable number, because it can be changed into a prime (131283211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 455701 + ... + 455988.

Almost surely, 2131283216 is an apocalyptic number.

131283216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131283216 is an abundant number, since it is smaller than the sum of its proper divisors (236127854).

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

131283216 is a wasteful number, since it uses less digits than its factorization.

131283216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911703 (or 911694 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 131283216 is about 11457.8888107714. Note that the first 4 decimals coincide. The cubic root of 131283216 is about 508.2410454218.

The spelling of 131283216 in words is "one hundred thirty-one million, two hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 911689 1823378 2735067 3646756 5470134 7293512 8205201 10940268 14587024 16410402 21880536 32820804 43761072 65641608 131283216