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103312305264 = 2437973169867
BaseRepresentation
bin110000000110111100…
…1001010110001110000
3100212200000022212212110
41200031321022301300
53143040422232024
6115243325125320
710315114051110
oct1401571126160
9325600285773
10103312305264
113a8a6115073
12180330b9840
139985b0c99c
145000d21040
152a49e1d629
hex180de4ac70

103312305264 has 80 divisors (see below), whose sum is σ = 308161887488. Its totient is φ = 29213485056.

The previous prime is 103312305263. The next prime is 103312305301. The reversal of 103312305264 is 462503213301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312305263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1552342 + ... + 1617525.

Almost surely, 2103312305264 is an apocalyptic number.

103312305264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103312305264 is an abundant number, since it is smaller than the sum of its proper divisors (204849582224).

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

103312305264 is a wasteful number, since it uses less digits than its factorization.

103312305264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169982 (or 3169976 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 103312305264 its reverse (462503213301), we get a palindrome (565815518565).

The spelling of 103312305264 in words is "one hundred three billion, three hundred twelve million, three hundred five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 679 776 1164 1358 1552 2037 2328 2716 4074 4656 5432 8148 10864 16296 32592 3169867 6339734 9509601 12679468 19019202 22189069 25358936 38038404 44378138 50717872 66567207 76076808 88756276 133134414 152153616 177512552 266268828 307477099 355025104 532537656 614954198 922431297 1065075312 1229908396 1844862594 2152339693 2459816792 3689725188 4304679386 4919633584 6457019079 7379450376 8609358772 12914038158 14758900752 17218717544 25828076316 34437435088 51656152632 103312305264