Base | Representation |
---|---|
bin | 1001000111010110111110… |
… | …1010011101001011101010 |
3 | 1022111002121122112000010200 |
4 | 2101311233222131023222 |
5 | 2303200110204231442 |
6 | 33152020305253030 |
7 | 2053032204205215 |
oct | 221655752351352 |
9 | 38432548460120 |
10 | 10022032102122 |
11 | 3214357936487 |
12 | 115a406334176 |
13 | 5790c583a241 |
14 | 2690d726877c |
15 | 125a692b334c |
hex | 91d6fa9d2ea |
10022032102122 has 24 divisors (see below), whose sum is σ = 21714950452260. Its totient is φ = 3340593126720.
The previous prime is 10022032102111. The next prime is 10022032102141. The reversal of 10022032102122 is 22120123022001.
10022032102122 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 321 + 0 + 2 + 122 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 10021536193761 + 495908361 = 3165681^2 + 22269^2 .
It is a super-2 number, since 2×100220321021222 (a number of 27 digits) contains 22 as substring.
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 = 10022032102095 and 10022032102104.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6284329 + ... + 7716012.
Almost surely, 210022032102122 is an apocalyptic number.
10022032102122 is an abundant number, since it is smaller than the sum of its proper divisors (11692918350138).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10022032102122 is a wasteful number, since it uses less digits than its factorization.
10022032102122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14040118 (or 14040115 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 10022032102122 its reverse (22120123022001), we get a palindrome (32142155124123).
The spelling of 10022032102122 in words is "ten trillion, twenty-two billion, thirty-two million, one hundred two thousand, one hundred twenty-two".
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