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131814683 = 71113373559
BaseRepresentation
bin1111101101101…
…01010100011011
3100012000212202022
413312311110123
5232221032213
621025125055
73160256240
oct766652433
9305025668
10131814683
1168451360
123818978b
1321402770
14137135c7
15b88b308
hex7db551b

131814683 has 32 divisors (see below), whose sum is σ = 181816320. Its totient is φ = 92223360.

The previous prime is 131814667. The next prime is 131814721. The reversal of 131814683 is 386418131.

It is a cyclic number.

It is not a de Polignac number, because 131814683 - 24 = 131814667 is a prime.

It is a super-2 number, since 2×1318146832 = 34750221308780978, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131814643) 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, 35258 + ... + 38816.

It is an arithmetic number, because the mean of its divisors is an integer number (5681760).

Almost surely, 2131814683 is an apocalyptic number.

131814683 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131814683 is a deficient number, since it is larger than the sum of its proper divisors (50001637).

131814683 is a wasteful number, since it uses less digits than its factorization.

131814683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627.

The product of its digits is 13824, while the sum is 35.

The square root of 131814683 is about 11481.0575732378. The cubic root of 131814683 is about 508.9259506067.

The spelling of 131814683 in words is "one hundred thirty-one million, eight hundred fourteen thousand, six hundred eighty-three".

Divisors: 1 7 11 13 37 77 91 143 259 407 481 1001 2849 3367 3559 5291 24913 37037 39149 46267 131683 274043 323869 508937 921781 1448513 1711879 3562559 10139591 11983153 18830669 131814683