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131135025 = 35272172099
BaseRepresentation
bin1111101000011…
…11011000110001
3100010202100102210
413310033120301
5232032310100
621002402333
73151425600
oct764173061
9303670383
10131135025
116802775a
1237b003a9
13212252b8
14135b7a37
15b7a4c50
hex7d0f631

131135025 has 72 divisors (see below), whose sum is σ = 267170400. Its totient is φ = 56394240.

The previous prime is 131135009. The next prime is 131135033. The reversal of 131135025 is 520531131.

It is not a de Polignac number, because 131135025 - 24 = 131135009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 131134992 and 131135010.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61426 + ... + 63524.

It is an arithmetic number, because the mean of its divisors is an integer number (3710700).

Almost surely, 2131135025 is an apocalyptic number.

131135025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131135025 is an abundant number, since it is smaller than the sum of its proper divisors (136035375).

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

131135025 is a wasteful number, since it uses less digits than its factorization.

131135025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 131135025 is about 11451.4202175975. The cubic root of 131135025 is about 508.0497411872.

Adding to 131135025 its reverse (520531131), we get a palindrome (651666156).

The spelling of 131135025 in words is "one hundred thirty-one million, one hundred thirty-five thousand, twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 49 51 75 85 105 119 147 175 245 255 357 425 525 595 735 833 1225 1275 1785 2099 2499 2975 3675 4165 6297 8925 10495 12495 14693 20825 31485 35683 44079 52475 62475 73465 102851 107049 157425 178415 220395 249781 308553 367325 514255 535245 749343 892075 1101975 1248905 1542765 1748467 2571275 2676225 3746715 5245401 6244525 7713825 8742335 18733575 26227005 43711675 131135025