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130399893 = 3213285733
BaseRepresentation
bin1111100010110…
…11111010010101
3100002101000000200
413301123322111
5231340244033
620534531113
73142244421
oct761337225
9302330020
10130399893
1167675408
1237806a99
1321028800
1413465b81
15b6ac013
hex7c5be95

130399893 has 18 divisors (see below), whose sum is σ = 203961186. Its totient is φ = 80245152.

The previous prime is 130399859. The next prime is 130399901. The reversal of 130399893 is 398993031.

It can be written as a sum of positive squares in 3 ways, for example, as 4915089 + 125484804 = 2217^2 + 11202^2 .

It is not a de Polignac number, because 130399893 - 28 = 130399637 is a prime.

It is a super-2 number, since 2×1303998932 = 34008264188822898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130399813) 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 17 ways as a sum of consecutive naturals, for example, 41346 + ... + 44387.

It is an arithmetic number, because the mean of its divisors is an integer number (11331177).

Almost surely, 2130399893 is an apocalyptic number.

130399893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130399893 is a deficient number, since it is larger than the sum of its proper divisors (73561293).

130399893 is a wasteful number, since it uses less digits than its factorization.

130399893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85765 (or 85749 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 130399893 is about 11419.2772538370. The cubic root of 130399893 is about 507.0986001526.

The spelling of 130399893 in words is "one hundred thirty million, three hundred ninety-nine thousand, eight hundred ninety-three".

Divisors: 1 3 9 13 39 117 169 507 1521 85733 257199 771597 1114529 3343587 10030761 14488877 43466631 130399893