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103264612304 = 2479710194111
BaseRepresentation
bin110000000101100001…
…1001110111111010000
3100212112200120211102112
41200023003032333100
53142441220043204
6115234503004452
710313664502430
oct1401303167720
9325480524375
10103264612304
113a8811aa6a7
121801b139728
139978c816b9
144dd88682c0
152a45b4c26e
hex180b0cefd0

103264612304 has 80 divisors (see below), whose sum is σ = 233304400896. Its totient is φ = 43365888000.

The previous prime is 103264612291. The next prime is 103264612307. The reversal of 103264612304 is 403216462301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103264612307) 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 15 ways as a sum of consecutive naturals, for example, 1050209 + ... + 1144319.

Almost surely, 2103264612304 is an apocalyptic number.

103264612304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103264612304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116652200448).

103264612304 is an abundant number, since it is smaller than the sum of its proper divisors (130039788592).

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

103264612304 is a wasteful number, since it uses less digits than its factorization.

103264612304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94324 (or 94318 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 103264612304 in words is "one hundred three billion, two hundred sixty-four million, six hundred twelve thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 97 101 112 194 202 388 404 679 707 776 808 1358 1414 1552 1616 2716 2828 5432 5656 9797 10864 11312 19594 39188 68579 78376 94111 137158 156752 188222 274316 376444 548632 658777 752888 1097264 1317554 1505776 2635108 5270216 9128767 9505211 10540432 18257534 19010422 36515068 38020844 63901369 66536477 73030136 76041688 127802738 133072954 146060272 152083376 255605476 266145908 511210952 532291816 922005467 1022421904 1064583632 1844010934 3688021868 6454038269 7376043736 12908076538 14752087472 25816153076 51632306152 103264612304