Search a number
-
+
131312144 = 248207009
BaseRepresentation
bin1111101001110…
…10101000010000
3100011002100101202
413310322220100
5232103442034
621010250332
73153064145
oct764725020
9304070352
10131312144
1168138837
1237b869a8
1321287ac2
14136223cc
15b7dc47e
hex7d3aa10

131312144 has 10 divisors (see below), whose sum is σ = 254417310. Its totient is φ = 65656064.

The previous prime is 131312047. The next prime is 131312147. The reversal of 131312144 is 441213131.

It can be written as a sum of positive squares in only one way, i.e., 82591744 + 48720400 = 9088^2 + 6980^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131312147) 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 as a sum of consecutive naturals, namely, 4103489 + ... + 4103520.

It is an arithmetic number, because the mean of its divisors is an integer number (25441731).

Almost surely, 2131312144 is an apocalyptic number.

It is an amenable number.

131312144 is a deficient number, since it is larger than the sum of its proper divisors (123105166).

131312144 is an equidigital number, since it uses as much as digits as its factorization.

131312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8207017 (or 8207011 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 131312144 is about 11459.1511029395. The cubic root of 131312144 is about 508.2783726539.

Adding to 131312144 its reverse (441213131), we get a palindrome (572525275).

The spelling of 131312144 in words is "one hundred thirty-one million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 8207009 16414018 32828036 65656072 131312144