Base | Representation |
---|---|
bin | 1110100011100… |
… | …01100100110100 |
3 | 22111202022201222 |
4 | 13101301210310 |
5 | 222224200040 |
6 | 20041005512 |
7 | 3011555510 |
oct | 721614464 |
9 | 274668658 |
10 | 122100020 |
11 | 62a16609 |
12 | 34a83898 |
13 | 1c3b0a43 |
14 | 12305140 |
15 | aabcbb5 |
hex | 7471934 |
122100020 has 24 divisors (see below), whose sum is σ = 293040384. Its totient is φ = 41862816.
The previous prime is 122100007. The next prime is 122100029. The reversal of 122100020 is 20001221.
It is a junction number, because it is equal to n+sod(n) for n = 122099980 and 122100007.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122100029) 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 7 ways as a sum of consecutive naturals, for example, 435932 + ... + 436211.
It is an arithmetic number, because the mean of its divisors is an integer number (12210016).
Almost surely, 2122100020 is an apocalyptic number.
122100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122100020 is an abundant number, since it is smaller than the sum of its proper divisors (170940364).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122100020 is a wasteful number, since it uses less digits than its factorization.
122100020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 872159 (or 872157 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
The square root of 122100020 is about 11049.8877822356. The cubic root of 122100020 is about 496.1030667277.
Adding to 122100020 its reverse (20001221), we get a palindrome (142101241).
The spelling of 122100020 in words is "one hundred twenty-two million, one hundred thousand, twenty".
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