Base | Representation |
---|---|
bin | 1010000011010011111010… |
… | …00100100000110010111010 |
3 | 2220021010021202201210100200 |
4 | 11001221331010200302322 |
5 | 10344122443002240442 |
6 | 115002234252543030 |
7 | 4440650504210010 |
oct | 501517504406272 |
9 | 86233252653320 |
10 | 22104000040122 |
11 | 7052287855300 |
12 | 258baa0a81a76 |
13 | c44523c91590 |
14 | 565ba70d28b0 |
15 | 284e9833034c |
hex | 141a7d120cba |
22104000040122 has 144 divisors (see below), whose sum is σ = 64789686648960. Its totient is φ = 5299660301760.
The previous prime is 22104000040103. The next prime is 22104000040141.
22104000040122 is a `hidden beast` number, since 2 + 210 + 400 + 0 + 0 + 40 + 12 + 2 = 666.
22104000040122 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (22104000040103) and next prime (22104000040141).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 22104000040095 and 22104000040104.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55564222 + ... + 55960617.
Almost surely, 222104000040122 is an apocalyptic number.
22104000040122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
22104000040122 is an abundant number, since it is smaller than the sum of its proper divisors (42685686608838).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22104000040122 is a wasteful number, since it uses less digits than its factorization.
22104000040122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 111524889 (or 111524875 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
It can be divided in two parts, 221040000 and 40122, that added together give a palindrome (221080122).
The spelling of 22104000040122 in words is "twenty-two trillion, one hundred four billion, forty thousand, one hundred twenty-two".
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