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109992964212 = 22328573565181
BaseRepresentation
bin110011001110000010…
…1110111000001110100
3101111220121011112002100
41212130011313001310
53300231144323322
6122310254542100
710642504524645
oct1463405670164
9344817145070
10109992964212
114271418500a
1219398507930
13a4abc05611
1454762b16cc
152cdb6a7dac
hex199c177074

109992964212 has 36 divisors (see below), whose sum is σ = 278362280196. Its totient is φ = 36621528960.

The previous prime is 109992964177. The next prime is 109992964219. The reversal of 109992964212 is 212469299901.

109992964212 is a `hidden beast` number, since 109 + 99 + 29 + 6 + 421 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82647050256 + 27345913956 = 287484^2 + 165366^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1099929642122 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109992964219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1751739 + ... + 1813442.

It is an arithmetic number, because the mean of its divisors is an integer number (7732285561).

Almost surely, 2109992964212 is an apocalyptic number.

109992964212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

109992964212 is an abundant number, since it is smaller than the sum of its proper divisors (168369315984).

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

109992964212 is a wasteful number, since it uses less digits than its factorization.

109992964212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566048 (or 3566043 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 109992964212 in words is "one hundred nine billion, nine hundred ninety-two million, nine hundred sixty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 857 1714 2571 3428 5142 7713 10284 15426 30852 3565181 7130362 10695543 14260724 21391086 32086629 42782172 64173258 128346516 3055360117 6110720234 9166080351 12221440468 18332160702 27498241053 36664321404 54996482106 109992964212