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5105115015 = 3571113437907
BaseRepresentation
bin1001100000100100…
…11101111110000111
3111011210011201020220
410300102131332013
540423402140030
62202324155423
7240336522150
oct46022357607
914153151226
105105115015
11218a782520
12ba5838b73
13634873620
14366024927
151ed2bba10
hex13049df87

5105115015 has 128 divisors (see below), whose sum is σ = 11223539712. Its totient is φ = 1912619520.

The previous prime is 5105115013. The next prime is 5105115047.

5105115015 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5105115015 - 21 = 5105115013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105115013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 641692 + ... + 649598.

It is an arithmetic number, because the mean of its divisors is an integer number (87683904).

Almost surely, 25105115015 is an apocalyptic number.

5105115015 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5105115015 is an abundant number, since it is smaller than the sum of its proper divisors (6118424697).

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

5105115015 is a wasteful number, since it uses less digits than its factorization.

5105115015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7989.

The product of its (nonzero) digits is 625, while the sum is 24.

The square root of 5105115015 is about 71450.0875786727. The cubic root of 5105115015 is about 1721.8758845608.

It can be divided in two parts, 51051 and 15015, that added together give a palindrome (66066).

The spelling of 5105115015 in words is "five billion, one hundred five million, one hundred fifteen thousand, fifteen".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 43 55 65 77 91 105 129 143 165 195 215 231 273 301 385 429 455 473 559 645 715 903 1001 1155 1365 1419 1505 1677 2145 2365 2795 3003 3311 3913 4515 5005 6149 7095 7907 8385 9933 11739 15015 16555 18447 19565 23721 30745 39535 43043 49665 55349 58695 86977 92235 102791 118605 129129 166047 215215 260931 276745 308373 340001 434885 513955 608839 645645 719537 830235 1020003 1130701 1304655 1541865 1700005 1826517 2158611 2380007 3044195 3392103 3597685 3740011 4420013 5100015 5653505 7140021 7914907 9132585 10793055 11220033 11900035 13260039 16960515 18700055 22100065 23744721 26180077 30940091 35700105 39574535 48620143 56100165 66300195 78540231 92820273 118723605 130900385 145860429 154700455 243100715 340341001 392701155 464101365 729302145 1021023003 1701705005 5105115015