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131228919 = 3214997859
BaseRepresentation
bin1111101001001…
…10010011110111
3100010221010020100
413310212103313
5232043311134
621004405143
73152266413
oct764462367
9303833210
10131228919
1168091258
1237b467b3
1321258c63
14135ddd43
15b7c2999
hex7d264f7

131228919 has 12 divisors (see below), whose sum is σ = 190827000. Its totient is φ = 86897904.

The previous prime is 131228897. The next prime is 131228941. The reversal of 131228919 is 919822131.

It is an interprime number because it is at equal distance from previous prime (131228897) and next prime (131228941).

It is not a de Polignac number, because 131228919 - 25 = 131228887 is a prime.

It is a super-2 number, since 2×1312289192 = 34442058363817122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131228969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47589 + ... + 50270.

It is an arithmetic number, because the mean of its divisors is an integer number (15902250).

Almost surely, 2131228919 is an apocalyptic number.

131228919 is a deficient number, since it is larger than the sum of its proper divisors (59598081).

131228919 is a wasteful number, since it uses less digits than its factorization.

131228919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98014 (or 98011 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 131228919 is about 11455.5191501739. The cubic root of 131228919 is about 508.1709685041.

The spelling of 131228919 in words is "one hundred thirty-one million, two hundred twenty-eight thousand, nine hundred nineteen".

Divisors: 1 3 9 149 447 1341 97859 293577 880731 14580991 43742973 131228919