Base | Representation |
---|---|
bin | 1001001101001011110000… |
… | …1011111101001001010100 |
3 | 1022211122220120022002010202 |
4 | 2103102330023331021110 |
5 | 2311320030122400040 |
6 | 33310010104040032 |
7 | 2063204036045654 |
oct | 223227413751124 |
9 | 38748816262122 |
10 | 10122100200020 |
11 | 3252838753536 |
12 | 1175892a63018 |
13 | 5856824a07a3 |
14 | 26dcab374364 |
15 | 1284744a0015 |
hex | 934bc2fd254 |
10122100200020 has 24 divisors (see below), whose sum is σ = 21264557869800. Its totient is φ = 4047288184832.
The previous prime is 10122100199971. The next prime is 10122100200031. The reversal of 10122100200020 is 2000200122101.
It is a happy number.
10122100200020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 2173749204496 + 7948350995524 = 1474364^2 + 2819282^2 .
It is a junction number, because it is equal to n+sod(n) for n = 10122100199974 and 10122100200010.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96939965 + ... + 97044324.
It is an arithmetic number, because the mean of its divisors is an integer number (886023244575).
Almost surely, 210122100200020 is an apocalyptic number.
10122100200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10122100200020 is an abundant number, since it is smaller than the sum of its proper divisors (11142457669780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10122100200020 is a wasteful number, since it uses less digits than its factorization.
10122100200020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 193986907 (or 193986905 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 11.
Adding to 10122100200020 its reverse (2000200122101), we get a palindrome (12122300322121).
The spelling of 10122100200020 in words is "ten trillion, one hundred twenty-two billion, one hundred million, two hundred thousand, twenty".
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