Base | Representation |
---|---|
bin | 1110100100011… |
… | …00011011100100 |
3 | 22111221220122001 |
4 | 13102030123210 |
5 | 222241210040 |
6 | 20043215044 |
7 | 3012524302 |
oct | 722143344 |
9 | 274856561 |
10 | 122210020 |
11 | 62a91219 |
12 | 34b17484 |
13 | 1c41bb2a |
14 | 12333272 |
15 | aae059a |
hex | 748c6e4 |
122210020 has 12 divisors (see below), whose sum is σ = 256641084. Its totient is φ = 48884000.
The previous prime is 122209993. The next prime is 122210027. The reversal of 122210020 is 20012221.
It can be written as a sum of positive squares in 2 ways, for example, as 31427236 + 90782784 = 5606^2 + 9528^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 122209979 and 122210006.
It is not an unprimeable number, because it can be changed into a prime (122210027) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3055231 + ... + 3055270.
It is an arithmetic number, because the mean of its divisors is an integer number (21386757).
Almost surely, 2122210020 is an apocalyptic number.
122210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122210020 is an abundant number, since it is smaller than the sum of its proper divisors (134431064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122210020 is a wasteful number, since it uses less digits than its factorization.
122210020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6110510 (or 6110508 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 122210020 is about 11054.8640878122. The cubic root of 122210020 is about 496.2520018869.
Adding to 122210020 its reverse (20012221), we get a palindrome (142222241).
The spelling of 122210020 in words is "one hundred twenty-two million, two hundred ten thousand, twenty".
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