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130944013 = 1738919801
BaseRepresentation
bin1111100111000…
…00110000001101
3100010101122102021
413303200300031
5232010202023
620554330141
73150001654
oct763406015
9303348367
10130944013
1167a071a2
1237a29951
1321189385
141356819b
15b76835d
hex7ce0c0d

130944013 has 8 divisors (see below), whose sum is σ = 139010040. Its totient is φ = 122918400.

The previous prime is 130943971. The next prime is 130944017. The reversal of 130944013 is 310449031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24649 + 130919364 = 157^2 + 11442^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130944013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130944017) 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 7 ways as a sum of consecutive naturals, for example, 3288 + ... + 16513.

It is an arithmetic number, because the mean of its divisors is an integer number (17376255).

Almost surely, 2130944013 is an apocalyptic number.

It is an amenable number.

130944013 is a deficient number, since it is larger than the sum of its proper divisors (8066027).

130944013 is a wasteful number, since it uses less digits than its factorization.

130944013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20207.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 130944013 is about 11443.0770774298. The cubic root of 130944013 is about 507.8029453028.

The spelling of 130944013 in words is "one hundred thirty million, nine hundred forty-four thousand, thirteen".

Divisors: 1 17 389 6613 19801 336617 7702589 130944013