Base | Representation |
---|---|
bin | 1001000111010111010001… |
… | …0011111111101000101010 |
3 | 1022111002211002021201010100 |
4 | 2101311310103333220222 |
5 | 2303200240141200020 |
6 | 33152032133130230 |
7 | 2053034142162261 |
oct | 221656423775052 |
9 | 38432732251110 |
10 | 10022110100010 |
11 | 321439796a448 |
12 | 115a428489976 |
13 | 579108a49238 |
14 | 26910376d5d8 |
15 | 125a7106da90 |
hex | 91d744ffa2a |
10022110100010 has 48 divisors (see below), whose sum is σ = 26189757810216. Its totient is φ = 2658996380544.
The previous prime is 10022110100003. The next prime is 10022110100071. The reversal of 10022110100010 is 1000101122001.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 10020244637529 + 1865462481 = 3165477^2 + 43191^2 .
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 = 10022110099965 and 10022110100001.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282613689 + ... + 282649148.
Almost surely, 210022110100010 is an apocalyptic number.
10022110100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
10022110100010 is an abundant number, since it is smaller than the sum of its proper divisors (16167647710206).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10022110100010 is a wasteful number, since it uses less digits than its factorization.
10022110100010 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 565263047 (or 565263044 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 10022110100010 its reverse (1000101122001), we get a palindrome (11022211222011).
The spelling of 10022110100010 in words is "ten trillion, twenty-two billion, one hundred ten million, one hundred thousand, ten".
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