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131141344 = 2519215693
BaseRepresentation
bin1111101000100…
…00111011100000
3100010202200002211
413310100323200
5232033010334
621002451504
73151453165
oct764207340
9303680084
10131141344
1168031484
1237b03b94
1321228139
14135ba06c
15b7a6a64
hex7d10ee0

131141344 has 24 divisors (see below), whose sum is σ = 271774440. Its totient is φ = 62119296.

The previous prime is 131141341. The next prime is 131141347. The reversal of 131141344 is 443141131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131141341) and next prime (131141347).

It is a super-2 number, since 2×1311413442 = 34396104212252672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141341) 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 3 ways as a sum of consecutive naturals, for example, 107239 + ... + 108454.

It is an arithmetic number, because the mean of its divisors is an integer number (11323935).

Almost surely, 2131141344 is an apocalyptic number.

It is an amenable number.

131141344 is an abundant number, since it is smaller than the sum of its proper divisors (140633096).

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

131141344 is a wasteful number, since it uses less digits than its factorization.

131141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215722 (or 215714 counting only the distinct ones).

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

The square root of 131141344 is about 11451.6961189162. The cubic root of 131141344 is about 508.0579015160.

Adding to 131141344 its reverse (443141131), we get a palindrome (574282475).

The spelling of 131141344 in words is "one hundred thirty-one million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 215693 431386 862772 1725544 3451088 4098167 6902176 8196334 16392668 32785336 65570672 131141344