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131975010 = 23251466389
BaseRepresentation
bin1111101110111…
…00011101100010
3100012100000200100
413313130131202
5232241200020
621032403230
73161524536
oct767343542
9305300610
10131975010
1168550862
1238246516
132145a72b
1413755bc6
15b8bda90
hex7ddc762

131975010 has 24 divisors (see below), whose sum is σ = 343135260. Its totient is φ = 35193312.

The previous prime is 131975003. The next prime is 131975017. The reversal of 131975010 is 10579131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131975003) and next prime (131975017).

It can be written as a sum of positive squares in 2 ways, for example, as 128391561 + 3583449 = 11331^2 + 1893^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131975017) 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, 733105 + ... + 733284.

Almost surely, 2131975010 is an apocalyptic number.

131975010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131975010 is an abundant number, since it is smaller than the sum of its proper divisors (211160250).

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

131975010 is a wasteful number, since it uses less digits than its factorization.

131975010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466402 (or 1466399 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 131975010 is about 11488.0376914423. The cubic root of 131975010 is about 509.1322035825.

The spelling of 131975010 in words is "one hundred thirty-one million, nine hundred seventy-five thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1466389 2932778 4399167 7331945 8798334 13197501 14663890 21995835 26395002 43991670 65987505 131975010