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130838513 = 1323437587
BaseRepresentation
bin1111100110001…
…10111111110001
3100010012021200212
413303012333301
5231443313023
620552153505
73146052251
oct763067761
9303167625
10130838513
1167944a03
1237998895
1321150350
141353b961
15b746e78
hex7cc6ff1

130838513 has 8 divisors (see below), whose sum is σ = 147029568. Its totient is φ = 115522704.

The previous prime is 130838509. The next prime is 130838527. The reversal of 130838513 is 315838031.

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

It is a cyclic number.

It is not a de Polignac number, because 130838513 - 22 = 130838509 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 130838513.

It is not an unprimeable number, because it can be changed into a prime (130838573) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218495 + ... + 219092.

It is an arithmetic number, because the mean of its divisors is an integer number (18378696).

Almost surely, 2130838513 is an apocalyptic number.

130838513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130838513 is a deficient number, since it is larger than the sum of its proper divisors (16191055).

130838513 is a wasteful number, since it uses less digits than its factorization.

130838513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437623.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 130838513 is about 11438.4663744752. The cubic root of 130838513 is about 507.6665317733. Note that the first 3 decimals are identical.

The spelling of 130838513 in words is "one hundred thirty million, eight hundred thirty-eight thousand, five hundred thirteen".

Divisors: 1 13 23 299 437587 5688631 10064501 130838513