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131134144 = 2613115641
BaseRepresentation
bin1111101000011…
…11001011000000
3100010202022020011
413310033023000
5232032243034
621002354304
73151423201
oct764171300
9303668204
10131134144
1168027029
1237abb994
1321224a8b
14135b75a8
15b7a4864
hex7d0f2c0

131134144 has 28 divisors (see below), whose sum is σ = 262222488. Its totient is φ = 65062400.

The previous prime is 131134103. The next prime is 131134151. The reversal of 131134144 is 441431131.

It is a happy number.

It is a super-2 number, since 2×1311341442 = 34392327445225472, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 564 + ... + 16204.

Almost surely, 2131134144 is an apocalyptic number.

It is an amenable number.

131134144 is a deficient number, since it is larger than the sum of its proper divisors (131088344).

131134144 is a wasteful number, since it uses less digits than its factorization.

131134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15784 (or 15774 counting only the distinct ones).

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

The square root of 131134144 is about 11451.3817506884. The cubic root of 131134144 is about 508.0486034469.

Adding to 131134144 its reverse (441431131), we get a palindrome (572565275).

It can be divided in two parts, 131 and 134144, that multiplied together give a square (17572864 = 41922).

The spelling of 131134144 in words is "one hundred thirty-one million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 131 262 524 1048 2096 4192 8384 15641 31282 62564 125128 250256 500512 1001024 2048971 4097942 8195884 16391768 32783536 65567072 131134144