Search a number
-
+
131142865 = 572312557
BaseRepresentation
bin1111101000100…
…01010011010001
3100010202202012011
413310101103101
5232033032430
621002502521
73151460500
oct764212321
9303682164
10131142865
1168032637
1237b04a41
1321228a39
14135ba837
15b7a722a
hex7d114d1

131142865 has 36 divisors (see below), whose sum is σ = 189500148. Its totient is φ = 86869440.

The previous prime is 131142857. The next prime is 131142877. The reversal of 131142865 is 568241131.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 104019601 = 5208^2 + 10199^2 .

It is not a de Polignac number, because 131142865 - 23 = 131142857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 235167 + ... + 235723.

It is an arithmetic number, because the mean of its divisors is an integer number (5263893).

Almost surely, 2131142865 is an apocalyptic number.

It is an amenable number.

131142865 is a deficient number, since it is larger than the sum of its proper divisors (58357283).

131142865 is an equidigital number, since it uses as much as digits as its factorization.

131142865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 600 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 131142865 is about 11451.7625281002. The cubic root of 131142865 is about 508.0598656895.

Adding to 131142865 its reverse (568241131), we get a palindrome (699383996).

The spelling of 131142865 in words is "one hundred thirty-one million, one hundred forty-two thousand, eight hundred sixty-five".

Divisors: 1 5 7 31 35 49 155 217 245 557 961 1085 1519 2785 3899 4805 6727 7595 17267 19495 27293 33635 47089 86335 120869 136465 235445 535277 604345 846083 2676385 3746939 4230415 18734695 26228573 131142865