Base | Representation |
---|---|
bin | 1110100011110… |
… | …11110101001000 |
3 | 22111211110100200 |
4 | 13101323311020 |
5 | 222232021044 |
6 | 20041532200 |
7 | 3012122124 |
oct | 721736510 |
9 | 274743320 |
10 | 122142024 |
11 | 62a45124 |
12 | 34aa4060 |
13 | 1c3c6bb4 |
14 | 12316584 |
15 | aaca369 |
hex | 747bd48 |
122142024 has 24 divisors (see below), whose sum is σ = 330801510. Its totient is φ = 40713984.
The previous prime is 122142023. The next prime is 122142037. The reversal of 122142024 is 420241221.
122142024 is a `hidden beast` number, since 1 + 221 + 420 + 24 = 666.
It can be written as a sum of positive squares in only one way, i.e., 104652900 + 17489124 = 10230^2 + 4182^2 .
It is a tau number, because it is divible by the number of its divisors (24).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 122141988 and 122142006.
It is not an unprimeable number, because it can be changed into a prime (122142023) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 848137 + ... + 848280.
Almost surely, 2122142024 is an apocalyptic number.
It is an amenable number.
122142024 is an abundant number, since it is smaller than the sum of its proper divisors (208659486).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122142024 is a wasteful number, since it uses less digits than its factorization.
122142024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1696429 (or 1696422 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 122142024 is about 11051.7882715875. The cubic root of 122142024 is about 496.1599488481.
Adding to 122142024 its reverse (420241221), we get a palindrome (542383245).
The spelling of 122142024 in words is "one hundred twenty-two million, one hundred forty-two thousand, twenty-four".
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