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101514315012 = 223111077187363
BaseRepresentation
bin101111010001010111…
…0011000010100000100
3100201000201002111220220
41132202232120110010
53130400131040022
6114345100024340
710222422304035
oct1364256302404
9321021074826
10101514315012
113a063203410
1217810b320b0
13975a474626
144cb020ca8c
15299216085c
hex17a2b98504

101514315012 has 48 divisors (see below), whose sum is σ = 260815064832. Its totient is φ = 30474414880.

The previous prime is 101514315011. The next prime is 101514315017. The reversal of 101514315012 is 210513415101.

It is not an unprimeable number, because it can be changed into a prime (101514315011) 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, 3579558 + ... + 3607805.

It is an arithmetic number, because the mean of its divisors is an integer number (5433647184).

Almost surely, 2101514315012 is an apocalyptic number.

101514315012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101514315012 is an abundant number, since it is smaller than the sum of its proper divisors (159300749820).

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

101514315012 is a wasteful number, since it uses less digits than its factorization.

101514315012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7187488 (or 7187486 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The spelling of 101514315012 in words is "one hundred one billion, five hundred fourteen million, three hundred fifteen thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 1177 1284 2354 3531 4708 7062 14124 7187363 14374726 21562089 28749452 43124178 79060993 86248356 158121986 237182979 316243972 474365958 769047841 948731916 1538095682 2307143523 3076191364 4614287046 8459526251 9228574092 16919052502 25378578753 33838105004 50757157506 101514315012