Search a number
-
+
131143144 = 23113148073
BaseRepresentation
bin1111101000100…
…01010111101000
3100010202202120111
413310101113220
5232033040034
621002504104
73151461346
oct764212750
9303682514
10131143144
1168032870
1237b05034
1321228bc2
14135ba996
15b7a7364
hex7d115e8

131143144 has 32 divisors (see below), whose sum is σ = 276906240. Its totient is φ = 57686400.

The previous prime is 131143141. The next prime is 131143153. The reversal of 131143144 is 441341131.

It is a happy number.

It is a super-3 number, since 3×1311431443 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (131143141) 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, 21309 + ... + 26764.

It is an arithmetic number, because the mean of its divisors is an integer number (8653320).

Almost surely, 2131143144 is an apocalyptic number.

It is an amenable number.

131143144 is an abundant number, since it is smaller than the sum of its proper divisors (145763096).

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

131143144 is a wasteful number, since it uses less digits than its factorization.

131143144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48121 (or 48117 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 131143144 is about 11451.7747096247. The cubic root of 131143144 is about 508.0602259801.

Adding to 131143144 its reverse (441341131), we get a palindrome (572484275).

The spelling of 131143144 in words is "one hundred thirty-one million, one hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 2728 48073 96146 192292 384584 528803 1057606 1490263 2115212 2980526 4230424 5961052 11922104 16392893 32785786 65571572 131143144