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131481378 = 23274392377
BaseRepresentation
bin1111101011000…
…11111100100010
3100011101221112200
413311203330202
5232124401003
621014034030
73154400430
oct765437442
9304357480
10131481378
11682439a6
1238048916
1321316b42
1413667d50
15b8226a3
hex7d63f22

131481378 has 48 divisors (see below), whose sum is σ = 326451840. Its totient is φ = 37464768.

The previous prime is 131481367. The next prime is 131481397. The reversal of 131481378 is 873184131.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54126 + ... + 56502.

It is an arithmetic number, because the mean of its divisors is an integer number (6801080).

Almost surely, 2131481378 is an apocalyptic number.

131481378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

131481378 is an abundant number, since it is smaller than the sum of its proper divisors (194970462).

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

131481378 is a wasteful number, since it uses less digits than its factorization.

131481378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2828 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 131481378 is about 11466.5329546468. The cubic root of 131481378 is about 508.4966338973.

The spelling of 131481378 in words is "one hundred thirty-one million, four hundred eighty-one thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 439 878 1317 2377 2634 3073 3951 4754 6146 7131 7902 9219 14262 16639 18438 21393 27657 33278 42786 49917 55314 99834 149751 299502 1043503 2087006 3130509 6261018 7304521 9391527 14609042 18783054 21913563 43827126 65740689 131481378