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130618413 = 346592447
BaseRepresentation
bin1111100100100…
…01010000101101
3100002210002210000
413302101100231
5231414242123
620543334513
73144144462
oct762212055
9302702700
10130618413
1167804602
12378b1439
13210a4103
14134c1669
15b701b43
hex7c9142d

130618413 has 20 divisors (see below), whose sum is σ = 195497280. Its totient is φ = 86911272.

The previous prime is 130618373. The next prime is 130618427. The reversal of 130618413 is 314816031.

130618413 is a `hidden beast` number, since 1 + 3 + 0 + 618 + 41 + 3 = 666.

It is not a de Polignac number, because 130618413 - 29 = 130617901 is a prime.

It is a super-2 number, since 2×1306184132 = 34122339629277138, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130628413) 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 19 ways as a sum of consecutive naturals, for example, 52156 + ... + 54602.

It is an arithmetic number, because the mean of its divisors is an integer number (9774864).

Almost surely, 2130618413 is an apocalyptic number.

It is an amenable number.

130618413 is a deficient number, since it is larger than the sum of its proper divisors (64878867).

130618413 is an equidigital number, since it uses as much as digits as its factorization.

130618413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 130618413 is about 11428.8412798499. The cubic root of 130618413 is about 507.3817019844.

The spelling of 130618413 in words is "one hundred thirty million, six hundred eighteen thousand, four hundred thirteen".

Divisors: 1 3 9 27 81 659 1977 2447 5931 7341 17793 22023 53379 66069 198207 1612573 4837719 14513157 43539471 130618413