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115465320100 = 225213611456057
BaseRepresentation
bin110101110001001000…
…1001111011010100100
3102001000222101000010001
41223202101033122210
53342433110220400
6125013302311044
711225224012204
oct1534221173244
9361028330101
10115465320100
1144a72187a89
121a465128484
13ab7188a720
145834db0404
15300bd16a6a
hex1ae244f6a4

115465320100 has 72 divisors (see below), whose sum is σ = 274257260648. Its totient is φ = 41934412800.

The previous prime is 115465320097. The next prime is 115465320119. The reversal of 115465320100 is 1023564511.

It can be written as a sum of positive squares in 12 ways, for example, as 101005738596 + 14459581504 = 317814^2 + 120248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648729 + ... + 807328.

Almost surely, 2115465320100 is an apocalyptic number.

115465320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115465320100 is an abundant number, since it is smaller than the sum of its proper divisors (158791940548).

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

115465320100 is a wasteful number, since it uses less digits than its factorization.

115465320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456145 (or 1456138 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 115465320100 its reverse (1023564511), we get a palindrome (116488884611).

The spelling of 115465320100 in words is "one hundred fifteen billion, four hundred sixty-five million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 61 65 100 122 130 244 260 305 325 610 650 793 1220 1300 1525 1586 3050 3172 3965 6100 7930 15860 19825 39650 79300 1456057 2912114 5824228 7280285 14560570 18928741 29121140 36401425 37857482 72802850 75714964 88819477 94643705 145605700 177638954 189287410 355277908 378574820 444097385 473218525 888194770 946437050 1154653201 1776389540 1892874100 2220486925 2309306402 4440973850 4618612804 5773266005 8881947700 11546532010 23093064020 28866330025 57732660050 115465320100