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131134038 = 23710330313
BaseRepresentation
bin1111101000011…
…11001001010110
3100010202022002020
413310033021112
5232032242123
621002354010
73151422660
oct764171126
9303668066
10131134038
1168026a42
1237abb906
1321224a09
14135b7530
15b7a47e3
hex7d0f256

131134038 has 32 divisors (see below), whose sum is σ = 302654976. Its totient is φ = 37101888.

The previous prime is 131134033. The next prime is 131134051. The reversal of 131134038 is 830431131.

It is a super-2 number, since 2×1311340382 = 34392271844370888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131133999 and 131134017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131134033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10831 + ... + 19482.

It is an arithmetic number, because the mean of its divisors is an integer number (9457968).

Almost surely, 2131134038 is an apocalyptic number.

131134038 is an abundant number, since it is smaller than the sum of its proper divisors (171520938).

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

131134038 is a wasteful number, since it uses less digits than its factorization.

131134038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30428.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 131134038 is about 11451.3771224251. The cubic root of 131134038 is about 508.0484665561.

Adding to 131134038 its reverse (830431131), we get a palindrome (961565169).

The spelling of 131134038 in words is "one hundred thirty-one million, one hundred thirty-four thousand, thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 103 206 309 618 721 1442 2163 4326 30313 60626 90939 181878 212191 424382 636573 1273146 3122239 6244478 9366717 18733434 21855673 43711346 65567019 131134038