Base | Representation |
---|---|
bin | 1001001100100110100011… |
… | …0010100110101101101101 |
3 | 1022210201010102001210002112 |
4 | 2103021220302212231231 |
5 | 2311134100421023041 |
6 | 33301234551133405 |
7 | 2062401353146343 |
oct | 223115062465555 |
9 | 38721112053075 |
10 | 10112111111021 |
11 | 3249582111087 |
12 | 1173965674265 |
13 | 58474cb3373a |
14 | 26d600851993 |
15 | 12808c549deb |
hex | 93268ca6b6d |
10112111111021 has 24 divisors (see below), whose sum is σ = 10685191707960. Its totient is φ = 9568149566976.
The previous prime is 10112111110999. The next prime is 10112111111027. The reversal of 10112111111021 is 12011111121101.
10112111111021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 2825377744996 + 7286733366025 = 1680886^2 + 2699395^2 .
It is a de Polignac number, because none of the positive numbers 2k-10112111111021 is a prime.
It is a super-2 number, since 2×101121111110212 (a number of 27 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10112111110987 and 10112111111005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10112111111027) 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, 35434721 + ... + 35718953.
It is an arithmetic number, because the mean of its divisors is an integer number (445216321165).
Almost surely, 210112111111021 is an apocalyptic number.
It is an amenable number.
10112111111021 is a deficient number, since it is larger than the sum of its proper divisors (573080596939).
10112111111021 is a wasteful number, since it uses less digits than its factorization.
10112111111021 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 285005 (or 284982 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 14.
Adding to 10112111111021 its reverse (12011111121101), we get a palindrome (22123222232122).
The spelling of 10112111111021 in words is "ten trillion, one hundred twelve billion, one hundred eleven million, one hundred eleven thousand, twenty-one".
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