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131361765 = 3597137659
BaseRepresentation
bin1111101010001…
…10101111100101
3100011011212110120
413311012233211
5232112034030
621011312153
73153361623
oct765065745
9304155416
10131361765
1168172047
1237bab659
13212a4572
1413636513
15b7ec010
hex7d46be5

131361765 has 32 divisors (see below), whose sum is σ = 214220160. Its totient is φ = 68726784.

The previous prime is 131361761. The next prime is 131361773. The reversal of 131361765 is 567163131.

It is a happy number.

It is not a de Polignac number, because 131361765 - 22 = 131361761 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131361761) 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 31 ways as a sum of consecutive naturals, for example, 199006 + ... + 199664.

It is an arithmetic number, because the mean of its divisors is an integer number (6694380).

Almost surely, 2131361765 is an apocalyptic number.

131361765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131361765 is a deficient number, since it is larger than the sum of its proper divisors (82858395).

131361765 is a wasteful number, since it uses less digits than its factorization.

131361765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901.

The product of its digits is 11340, while the sum is 33.

The square root of 131361765 is about 11461.3160239128. The cubic root of 131361765 is about 508.3423883245.

The spelling of 131361765 in words is "one hundred thirty-one million, three hundred sixty-one thousand, seven hundred sixty-five".

Divisors: 1 3 5 15 97 137 291 411 485 659 685 1455 1977 2055 3295 9885 13289 39867 63923 66445 90283 191769 199335 270849 319615 451415 958845 1354245 8757451 26272353 43787255 131361765