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130618565 = 57211172851
BaseRepresentation
bin1111100100100…
…01010011000101
3100002210002222122
413302101103011
5231414243230
620543335325
73144145100
oct762212305
9302702878
10130618565
1167804730
12378b1545
13210a41bc
14134c1737
15b701be5
hex7c914c5

130618565 has 48 divisors (see below), whose sum is σ = 210682944. Its totient is φ = 76608000.

The previous prime is 130618561. The next prime is 130618571. The reversal of 130618565 is 565816031.

It is not a de Polignac number, because 130618565 - 22 = 130618561 is a prime.

It is a super-2 number, since 2×1306185652 = 34122419045318450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130618561) 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 47 ways as a sum of consecutive naturals, for example, 44390 + ... + 47240.

It is an arithmetic number, because the mean of its divisors is an integer number (4389228).

Almost surely, 2130618565 is an apocalyptic number.

It is an amenable number.

130618565 is a deficient number, since it is larger than the sum of its proper divisors (80064379).

130618565 is a wasteful number, since it uses less digits than its factorization.

130618565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 130618565 is about 11428.8479296909. The cubic root of 130618565 is about 507.3818987968.

The spelling of 130618565 in words is "one hundred thirty million, six hundred eighteen thousand, five hundred sixty-five".

Divisors: 1 5 7 11 17 35 49 55 77 85 119 187 245 385 539 595 833 935 1309 2695 2851 4165 6545 9163 14255 19957 31361 45815 48467 99785 139699 156805 219527 242335 339269 533137 698495 1097635 1536689 1696345 2374883 2665685 3731959 7683445 11874415 18659795 26123713 130618565