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101245285512 = 23327316480113
BaseRepresentation
bin101111001001010110…
…0000111010010001000
3100200022221212101211100
41132102230013102020
53124322243114022
6114302245501400
710212644504340
oct1362254072210
9320287771740
10101245285512
1139a35362588
1217756a11860
1397167cb487
144c865bbd20
15297871d1ac
hex1792b07488

101245285512 has 96 divisors (see below), whose sum is σ = 323487290880. Its totient is φ = 27994083840.

The previous prime is 101245285499. The next prime is 101245285513. The reversal of 101245285512 is 215582542101.

101245285512 is a `hidden beast` number, since 1 + 0 + 12 + 4 + 52 + 85 + 512 = 666.

101245285512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101245285513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3224433 + ... + 3255680.

It is an arithmetic number, because the mean of its divisors is an integer number (3369659280).

Almost surely, 2101245285512 is an apocalyptic number.

101245285512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101245285512 is an abundant number, since it is smaller than the sum of its proper divisors (222242005368).

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

101245285512 is a wasteful number, since it uses less digits than its factorization.

101245285512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6480163 (or 6480156 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 101245285512 in words is "one hundred one billion, two hundred forty-five million, two hundred eighty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 15624 6480113 12960226 19440339 25920452 38880678 45360791 51840904 58321017 77761356 90721582 116642034 136082373 155522712 181443164 200883503 233284068 272164746 362886328 401767006 408247119 466568136 544329492 602650509 803534012 816494238 1088658984 1205301018 1406184521 1607068024 1632988476 1807951527 2410602036 2812369042 3265976952 3615903054 4218553563 4821204072 5624738084 7231806108 8437107126 11249476168 12655660689 14463612216 16874214252 25311321378 33748428504 50622642756 101245285512