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115122315 = 35721129491
BaseRepresentation
bin1101101110010…
…10000010001011
322000121211010110
412313022002023
5213432403230
615231245403
72565344400
oct667120213
9260554113
10115122315
1159a90110
1232679863
131ab09a19
141140a2a7
15a1904b0
hex6dca08b

115122315 has 96 divisors (see below), whose sum is σ = 242300160. Its totient is φ = 46099200.

The previous prime is 115122299. The next prime is 115122323. The reversal of 115122315 is 513221511.

It is not a de Polignac number, because 115122315 - 24 = 115122299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 115122291 and 115122300.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 234220 + ... + 234710.

It is an arithmetic number, because the mean of its divisors is an integer number (2523960).

Almost surely, 2115122315 is an apocalyptic number.

115122315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

115122315 is an abundant number, since it is smaller than the sum of its proper divisors (127177845).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115122315 is a wasteful number, since it uses less digits than its factorization.

115122315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 546 counting only the distinct ones).

The product of its digits is 300, while the sum is 21.

The square root of 115122315 is about 10729.5067454194. The cubic root of 115122315 is about 486.4667610091.

Adding to 115122315 its reverse (513221511), we get a palindrome (628343826).

The spelling of 115122315 in words is "one hundred fifteen million, one hundred twenty-two thousand, three hundred fifteen".

Divisors: 1 3 5 7 11 15 21 29 33 35 49 55 77 87 105 145 147 165 203 231 245 319 385 435 491 539 609 735 957 1015 1155 1421 1473 1595 1617 2233 2455 2695 3045 3437 4263 4785 5401 6699 7105 7365 8085 10311 11165 14239 15631 16203 17185 21315 24059 27005 33495 37807 42717 46893 51555 71195 72177 78155 81015 99673 113421 120295 156629 189035 213585 234465 264649 299019 360885 469887 498365 567105 697711 783145 793947 1096403 1323245 1495095 2093133 2349435 3289209 3488555 3969735 5482015 7674821 10465665 16446045 23024463 38374105 115122315