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105412118022 = 23212774585927
BaseRepresentation
bin110001000101100001…
…1010100011000000110
3101002002100111102110100
41202023003110120012
53211341000234042
6120231535304530
710421132135151
oct1421303243006
9332070442410
10105412118022
1140783435512
121851a37b146
139c2bb63543
14515db5cc98
152b1e44a24c
hex188b0d4606

105412118022 has 24 divisors (see below), whose sum is σ = 228571823376. Its totient is φ = 35109849456.

The previous prime is 105412118003. The next prime is 105412118023. The reversal of 105412118022 is 220811214501.

105412118022 is a `hidden beast` number, since 1 + 0 + 541 + 2 + 118 + 0 + 2 + 2 = 666.

It is a super-2 number, since 2×1054121180222 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105412118023) 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, 2269978 + ... + 2315949.

It is an arithmetic number, because the mean of its divisors is an integer number (9523825974).

Almost surely, 2105412118022 is an apocalyptic number.

105412118022 is an abundant number, since it is smaller than the sum of its proper divisors (123159705354).

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

105412118022 is a wasteful number, since it uses less digits than its factorization.

105412118022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587212 (or 4587209 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 105412118022 in words is "one hundred five billion, four hundred twelve million, one hundred eighteen thousand, twenty-two".

Divisors: 1 2 3 6 9 18 1277 2554 3831 7662 11493 22986 4585927 9171854 13757781 27515562 41273343 82546686 5856228779 11712457558 17568686337 35137372674 52706059011 105412118022