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130335315 = 35113183307
BaseRepresentation
bin1111100010011…
…00001001010011
3100002020201102220
413301030021103
5231331212230
620533312123
73141555225
oct761141123
9302221386
10130335315
1167630940
1237795643
13210052b6
141344a415
15b697d10
hex7c4c253

130335315 has 64 divisors (see below), whose sum is σ = 238436352. Its totient is φ = 60220800.

The previous prime is 130335313. The next prime is 130335341. The reversal of 130335315 is 513533031.

130335315 = T320 + T321 + ... + T933.

It is not a de Polignac number, because 130335315 - 21 = 130335313 is a prime.

It is a super-2 number, since 2×1303353152 = 33974588672298450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130335313) 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 63 ways as a sum of consecutive naturals, for example, 424392 + ... + 424698.

It is an arithmetic number, because the mean of its divisors is an integer number (3725568).

Almost surely, 2130335315 is an apocalyptic number.

130335315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130335315 is a deficient number, since it is larger than the sum of its proper divisors (108101037).

130335315 is a wasteful number, since it uses less digits than its factorization.

130335315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440.

The product of its (nonzero) digits is 2025, while the sum is 24.

The square root of 130335315 is about 11416.4493166658. The cubic root of 130335315 is about 507.0148761046.

Adding to 130335315 its reverse (513533031), we get a palindrome (643868346).

The spelling of 130335315 in words is "one hundred thirty million, three hundred thirty-five thousand, three hundred fifteen".

Divisors: 1 3 5 11 15 31 33 55 83 93 155 165 249 307 341 415 465 913 921 1023 1245 1535 1705 2573 2739 3377 4565 4605 5115 7719 9517 10131 12865 13695 16885 25481 28303 28551 38595 47585 50655 76443 84909 104687 127405 141515 142755 280291 314061 382215 424545 523435 789911 840873 1401455 1570305 2369733 3949555 4204365 8689021 11848665 26067063 43445105 130335315