Base | Representation |
---|---|
bin | 1011000110001000111010… |
… | …1000000111000100010101 |
3 | 1121012022120221112022112100 |
4 | 2301202032220013010111 |
5 | 3044341301100000041 |
6 | 41540352031312313 |
7 | 2366266564651533 |
oct | 261421650070425 |
9 | 47168527468470 |
10 | 12200100000021 |
11 | 398404043754a |
12 | 145056497b699 |
13 | 6a660665256b |
14 | 3026b9091153 |
15 | 1625450496b6 |
hex | b188ea07115 |
12200100000021 has 24 divisors (see below), whose sum is σ = 18722738132280. Its totient is φ = 7640696359296.
The previous prime is 12200099999987. The next prime is 12200100000071. The reversal of 12200100000021 is 12000000100221.
It can be written as a sum of positive squares in 4 ways, for example, as 8530844819121 + 3669255180900 = 2920761^2 + 1915530^2 .
It is not a de Polignac number, because 12200100000021 - 29 = 12200099999509 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 12200099999949 and 12200100000012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12200100000071) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631661670 + ... + 631680983.
It is an arithmetic number, because the mean of its divisors is an integer number (780114088845).
Almost surely, 212200100000021 is an apocalyptic number.
It is an amenable number.
12200100000021 is a deficient number, since it is larger than the sum of its proper divisors (6522638132259).
12200100000021 is a wasteful number, since it uses less digits than its factorization.
12200100000021 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1263342725 (or 1263342722 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 12200100000021 its reverse (12000000100221), we get a palindrome (24200100100242).
The spelling of 12200100000021 in words is "twelve trillion, two hundred billion, one hundred million, twenty-one", and thus it is an aban number.
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