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100145460036 = 22341617329899
BaseRepresentation
bin101110101000100100…
…0100111001101000100
3100120111022100110220110
41131101020213031010
53120044214210121
6114001200433020
710143461236146
oct1352110471504
9316438313813
10100145460036
1139520557406
12174aa618770
13959c9ac07b
144bc04c6c96
152911dbdd76
hex1751227344

100145460036 has 48 divisors (see below), whose sum is σ = 239760763200. Its totient is φ = 32514746880.

The previous prime is 100145459989. The next prime is 100145460067. The reversal of 100145460036 is 630064541001.

It is a super-2 number, since 2×1001454600362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100145459985 and 100145460012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138615 + ... + 468513.

It is an arithmetic number, because the mean of its divisors is an integer number (4995015900).

Almost surely, 2100145460036 is an apocalyptic number.

It is an amenable number.

100145460036 is an abundant number, since it is smaller than the sum of its proper divisors (139615303164).

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

100145460036 is a wasteful number, since it uses less digits than its factorization.

100145460036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330564 (or 330562 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 100145460036 in words is "one hundred billion, one hundred forty-five million, four hundred sixty thousand, thirty-six".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 492 617 1234 1851 2468 3702 7404 25297 50594 75891 101188 151782 303564 329899 659798 989697 1319596 1979394 3958788 13525859 27051718 40577577 54103436 81155154 162310308 203547683 407095366 610643049 814190732 1221286098 2442572196 8345455003 16690910006 25036365009 33381820012 50072730018 100145460036