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100612735912 = 231313124130643
BaseRepresentation
bin101110110110011111…
…1001000001110101000
3100121200212121112220101
41131230333020032220
53122023330022122
6114115412035144
710161164100403
oct1355477101650
9317625545811
10100612735912
11397402a2717
12175bb002ab4
139645747280
144c265a0d3a
15293ce21027
hex176cfc83a8

100612735912 has 64 divisors (see below), whose sum is σ = 205567306560. Its totient is φ = 45889459200.

The previous prime is 100612735897. The next prime is 100612735919. The reversal of 100612735912 is 219537216001.

It is not an unprimeable number, because it can be changed into a prime (100612735919) 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, 3268063 + ... + 3298705.

It is an arithmetic number, because the mean of its divisors is an integer number (3211989165).

Almost surely, 2100612735912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100612735912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102783653280).

100612735912 is an abundant number, since it is smaller than the sum of its proper divisors (104954570648).

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

100612735912 is a wasteful number, since it uses less digits than its factorization.

100612735912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31034 (or 31030 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The spelling of 100612735912 in words is "one hundred billion, six hundred twelve million, seven hundred thirty-five thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 131 241 262 482 524 964 1048 1703 1928 3133 3406 6266 6812 12532 13624 25064 30643 31571 61286 63142 122572 126284 245144 252568 398359 410423 796718 820846 1593436 1641692 3186872 3283384 4014233 7384963 8028466 14769926 16056932 29539852 32113864 52185029 59079704 96004519 104370058 192009038 208740116 384018076 417480232 768036152 967430153 1934860306 3869720612 7739441224 12576591989 25153183978 50306367956 100612735912