Base | Representation |
---|---|
bin | 1110100101010… |
… | …10000000001000 |
3 | 22112012001210010 |
4 | 13102222000020 |
5 | 222304044034 |
6 | 20045551520 |
7 | 3013540365 |
oct | 722520010 |
9 | 275161703 |
10 | 122331144 |
11 | 63064221 |
12 | 34b755a0 |
13 | 1c461cc0 |
14 | 1236546c |
15 | ab163e9 |
hex | 74aa008 |
122331144 has 32 divisors (see below), whose sum is σ = 329353920. Its totient is φ = 37640256.
The previous prime is 122331119. The next prime is 122331149. The reversal of 122331144 is 441133221.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 122331144.
It is not an unprimeable number, because it can be changed into a prime (122331149) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195732 + ... + 196355.
It is an arithmetic number, because the mean of its divisors is an integer number (10292310).
Almost surely, 2122331144 is an apocalyptic number.
It is an amenable number.
122331144 is an abundant number, since it is smaller than the sum of its proper divisors (207022776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122331144 is a wasteful number, since it uses less digits than its factorization.
122331144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 392109 (or 392105 counting only the distinct ones).
The product of its digits is 576, while the sum is 21.
The square root of 122331144 is about 11060.3410435664. The cubic root of 122331144 is about 496.4158951052.
Adding to 122331144 its reverse (441133221), we get a palindrome (563464365).
The spelling of 122331144 in words is "one hundred twenty-two million, three hundred thirty-one thousand, one hundred forty-four".
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