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131503995 = 32572232593
BaseRepresentation
bin1111101011010…
…01011101111011
3100011110002120100
413311221131323
5232131111440
621014330443
73154523400
oct765513573
9304402510
10131503995
1168259997
1238059a23
132132421c
14136722a7
15b829230
hex7d6977b

131503995 has 72 divisors (see below), whose sum is σ = 276790176. Its totient is φ = 57480192.

The previous prime is 131503991. The next prime is 131504003. The reversal of 131503995 is 599305131.

It is not a de Polignac number, because 131503995 - 22 = 131503991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131503991) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 49419 + ... + 52011.

It is an arithmetic number, because the mean of its divisors is an integer number (3844308).

Almost surely, 2131503995 is an apocalyptic number.

131503995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131503995 is an abundant number, since it is smaller than the sum of its proper divisors (145286181).

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

131503995 is a wasteful number, since it uses less digits than its factorization.

131503995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 18225, while the sum is 36.

The square root of 131503995 is about 11467.5191301345. The cubic root of 131503995 is about 508.5257888726.

The spelling of 131503995 in words is "one hundred thirty-one million, five hundred three thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 49 63 69 105 115 147 161 207 245 315 345 441 483 735 805 1035 1127 1449 2205 2415 2593 3381 5635 7245 7779 10143 12965 16905 18151 23337 38895 50715 54453 59639 90755 116685 127057 163359 178917 272265 298195 381171 417473 536751 635285 816795 894585 1143513 1252419 1905855 2087365 2683755 2922311 3757257 5717565 6262095 8766933 14611555 18786285 26300799 43834665 131503995