Base | Representation |
---|---|
bin | 11110111000010111001… |
… | …000110001111111101001 |
3 | 21111212111221100020201200 |
4 | 132320113020301333221 |
5 | 234232031104201441 |
6 | 4302514043034413 |
7 | 306213444365604 |
oct | 36702710617751 |
9 | 7455457306650 |
10 | 2122102022121 |
11 | 748a842a5274 |
12 | 2a333b80ba09 |
13 | 125162096ac3 |
14 | 749d304b33b |
15 | 3a3027997b6 |
hex | 1ee17231fe9 |
2122102022121 has 24 divisors (see below), whose sum is σ = 3264328346760. Its totient is φ = 1323818359296.
The previous prime is 2122102022063. The next prime is 2122102022123. The reversal of 2122102022121 is 1212202012212.
It is a happy number.
2122102022121 is a `hidden beast` number, since 212 + 210 + 2 + 0 + 221 + 21 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1781584257600 + 340517764521 = 1334760^2 + 583539^2 .
It is not a de Polignac number, because 2122102022121 - 27 = 2122102021993 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 2122102022094 and 2122102022103.
It is not an unprimeable number, because it can be changed into a prime (2122102022123) 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, 40060086 + ... + 40113023.
It is an arithmetic number, because the mean of its divisors is an integer number (136013681115).
Almost surely, 22122102022121 is an apocalyptic number.
It is an amenable number.
2122102022121 is a deficient number, since it is larger than the sum of its proper divisors (1142226324639).
2122102022121 is a wasteful number, since it uses less digits than its factorization.
2122102022121 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 80173305 (or 80173302 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 2122102022121 its reverse (1212202012212), we get a palindrome (3334304034333).
Subtracting from 2122102022121 its reverse (1212202012212), we obtain a palindrome (909900009909).
The spelling of 2122102022121 in words is "two trillion, one hundred twenty-two billion, one hundred two million, twenty-two thousand, one hundred twenty-one".
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