Search a number
-
+
131331616 = 2513315701
BaseRepresentation
bin1111101001111…
…11011000100000
3100011010100002221
413310333120200
5232110102431
621010520424
73153205003
oct764773040
9304110087
10131331616
1168151429
1237b96114
1321293920
141362953a
15b7e3111
hex7d3f620

131331616 has 24 divisors (see below), whose sum is σ = 278449164. Its totient is φ = 60614400.

The previous prime is 131331559. The next prime is 131331617. The reversal of 131331616 is 616133131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 131331600 + 16 = 11460^2 + 4^2 .

It is a super-2 number, since 2×1313316162 = 34495986722342912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131331617) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 157435 + ... + 158266.

Almost surely, 2131331616 is an apocalyptic number.

131331616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131331616 is an abundant number, since it is smaller than the sum of its proper divisors (147117548).

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

131331616 is a wasteful number, since it uses less digits than its factorization.

131331616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315724 (or 315716 counting only the distinct ones).

The product of its digits is 972, while the sum is 25.

The square root of 131331616 is about 11460.0006980803. Note that the first 3 decimals coincide. The cubic root of 131331616 is about 508.3034952536.

Adding to 131331616 its reverse (616133131), we get a palindrome (747464747).

It can be divided in two parts, 1313316 and 16, that multiplied together give a square (21013056 = 45842).

The spelling of 131331616 in words is "one hundred thirty-one million, three hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 315701 631402 1262804 2525608 4104113 5051216 8208226 10102432 16416452 32832904 65665808 131331616