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131331004 = 22731151303
BaseRepresentation
bin1111101001111…
…11001110111100
3100011010022021021
413310333032330
5232110043004
621010513524
73153203140
oct764771674
9304108237
10131331004
1168150a22
1237b958a4
132129356c
1413629220
15b7e2d54
hex7d3f3bc

131331004 has 24 divisors (see below), whose sum is σ = 271136768. Its totient is φ = 54468720.

The previous prime is 131330993. The next prime is 131331017. The reversal of 131331004 is 400133131.

It is a super-2 number, since 2×1313310042 = 34495665223296032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74784 + ... + 76519.

Almost surely, 2131331004 is an apocalyptic number.

131331004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131331004 is an abundant number, since it is smaller than the sum of its proper divisors (139805764).

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

131331004 is a wasteful number, since it uses less digits than its factorization.

131331004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151345 (or 151343 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 131331004 is about 11459.9739964801. The cubic root of 131331004 is about 508.3027056945.

Adding to 131331004 its reverse (400133131), we get a palindrome (531464135).

The spelling of 131331004 in words is "one hundred thirty-one million, three hundred thirty-one thousand, four".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 151303 302606 605212 1059121 2118242 4236484 4690393 9380786 18761572 32832751 65665502 131331004