Base | Representation |
---|---|
bin | 110001101110001010… |
… | …0110000011111011010 |
3 | 101012121101012201122000 |
4 | 1203130110300133122 |
5 | 3222134031102442 |
6 | 121015124341430 |
7 | 10500000000000 |
oct | 1433424603732 |
9 | 335541181560 |
10 | 106775644122 |
11 | 41313081894 |
12 | 1883ab44876 |
13 | a0b84b1414 |
14 | 524cc98a70 |
15 | 2b9ded7d4c |
hex | 18dc5307da |
106775644122 has 96 divisors (see below), whose sum is σ = 276825744000. Its totient is φ = 30507326892.
The previous prime is 106775644109. The next prime is 106775644139. The reversal of 106775644122 is 221446577601.
106775644122 is a `hidden beast` number, since 1 + 0 + 6 + 77 + 564 + 4 + 12 + 2 = 666.
It is a super-2 number, since 2×1067756441222 (a number of 23 digits) contains 22 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15253663443 + ... + 15253663449.
It is an arithmetic number, because the mean of its divisors is an integer number (2883601500).
Almost surely, 2106775644122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106775644122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138412872000).
106775644122 is an abundant number, since it is smaller than the sum of its proper divisors (170050099878).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106775644122 is an frugal number, since it uses more digits than its factorization.
106775644122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 88 (or 12 counting only the distinct ones).
The product of its (nonzero) digits is 564480, while the sum is 45.
The spelling of 106775644122 in words is "one hundred six billion, seven hundred seventy-five million, six hundred forty-four thousand, one hundred twenty-two".
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