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131368461 = 3728771019
BaseRepresentation
bin1111101010010…
…00011000001101
3100011012012122120
413311020120031
5232112242321
621011403153
73153420300
oct765103015
9304165576
10131368461
1168177084
1237bb34b9
13212a7623
1413638b37
15b7edec6
hex7d4860d

131368461 has 24 divisors (see below), whose sum is σ = 204187680. Its totient is φ = 74908512.

The previous prime is 131368459. The next prime is 131368477. The reversal of 131368461 is 164863131.

It is not a de Polignac number, because 131368461 - 21 = 131368459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131368411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128410 + ... + 129428.

It is an arithmetic number, because the mean of its divisors is an integer number (8507820).

Almost surely, 2131368461 is an apocalyptic number.

It is an amenable number.

131368461 is a deficient number, since it is larger than the sum of its proper divisors (72819219).

131368461 is a wasteful number, since it uses less digits than its factorization.

131368461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1906 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 131368461 is about 11461.6081332420. The cubic root of 131368461 is about 508.3510255480.

The spelling of 131368461 in words is "one hundred thirty-one million, three hundred sixty-eight thousand, four hundred sixty-one".

Divisors: 1 3 7 21 49 147 877 1019 2631 3057 6139 7133 18417 21399 42973 49931 128919 149793 893663 2680989 6255641 18766923 43789487 131368461