Base | Representation |
---|---|
bin | 1110100011111… |
… | …01111100000000 |
3 | 22111211220012101 |
4 | 13101331330000 |
5 | 222232310111 |
6 | 20042040144 |
7 | 3012156235 |
oct | 721757400 |
9 | 274756171 |
10 | 122150656 |
11 | 62a50661 |
12 | 34aa9054 |
13 | 1c3caac4 |
14 | 1231978c |
15 | aaccbc1 |
hex | 747df00 |
122150656 has 36 divisors (see below), whose sum is σ = 244924344. Its totient is φ = 60800000.
The previous prime is 122150641. The next prime is 122150683. The reversal of 122150656 is 656051221.
It is a super-3 number, since 3×1221506563 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63306 + ... + 65206.
It is an arithmetic number, because the mean of its divisors is an integer number (6803454).
Almost surely, 2122150656 is an apocalyptic number.
122150656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122150656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122462172).
122150656 is an abundant number, since it is smaller than the sum of its proper divisors (122773688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122150656 is an equidigital number, since it uses as much as digits as its factorization.
122150656 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2168 (or 2154 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 28.
The square root of 122150656 is about 11052.1787897229. The cubic root of 122150656 is about 496.1716367495.
The spelling of 122150656 in words is "one hundred twenty-two million, one hundred fifty thousand, six hundred fifty-six".
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