Base | Representation |
---|---|
bin | 10100101101111101… |
… | …00100111000001100 |
3 | 1001201011201221010000 |
4 | 22112332210320030 |
5 | 140234431432342 |
6 | 5035414444300 |
7 | 542431161012 |
oct | 122676447014 |
9 | 31634657100 |
10 | 11122920972 |
11 | 4798665179 |
12 | 21a5063690 |
13 | 1083534c57 |
14 | 77734a8b2 |
15 | 45177044c |
hex | 296fa4e0c |
11122920972 has 120 divisors (see below), whose sum is σ = 29738508800. Its totient is φ = 3624308064.
The previous prime is 11122920953. The next prime is 11122920979. The reversal of 11122920972 is 27902922111.
It is a happy number.
11122920972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (11122920979) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2634279 + ... + 2638497.
Almost surely, 211122920972 is an apocalyptic number.
11122920972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11122920972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14869254400).
11122920972 is an abundant number, since it is smaller than the sum of its proper divisors (18615587828).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11122920972 is a wasteful number, since it uses less digits than its factorization.
11122920972 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4417 (or 4406 counting only the distinct ones).
The product of its (nonzero) digits is 9072, while the sum is 36.
The spelling of 11122920972 in words is "eleven billion, one hundred twenty-two million, nine hundred twenty thousand, nine hundred seventy-two".
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