Base | Representation |
---|---|
bin | 1110100011110… |
… | …01110111101100 |
3 | 22111211001100100 |
4 | 13101321313230 |
5 | 222231241441 |
6 | 20041431100 |
7 | 3012056535 |
oct | 721716754 |
9 | 274731310 |
10 | 122133996 |
11 | 62a3a096 |
12 | 34a9b490 |
13 | 1c3c334a |
14 | 1231368c |
15 | aac7cb6 |
hex | 7479dec |
122133996 has 36 divisors (see below), whose sum is σ = 309347584. Its totient is φ = 40629600.
The previous prime is 122133971. The next prime is 122133997. The reversal of 122133996 is 699331221.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (36).
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 122133996.
It is not an unprimeable number, because it can be changed into a prime (122133997) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16341 + ... + 22611.
Almost surely, 2122133996 is an apocalyptic number.
It is an amenable number.
122133996 is an abundant number, since it is smaller than the sum of its proper divisors (187213588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122133996 is a wasteful number, since it uses less digits than its factorization.
122133996 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6822 (or 6817 counting only the distinct ones).
The product of its digits is 17496, while the sum is 36.
The square root of 122133996 is about 11051.4250664790. The cubic root of 122133996 is about 496.1490782807.
The spelling of 122133996 in words is "one hundred twenty-two million, one hundred thirty-three thousand, nine hundred ninety-six".
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