Base | Representation |
---|---|
bin | 11110000010010011101110… |
… | …001011000001100011010010 |
3 | 122022201122012211100201010100 |
4 | 132002103232023001203102 |
5 | 114303311310031214442 |
6 | 1144541523512513230 |
7 | 36552624252322131 |
oct | 3602235613014322 |
9 | 568648184321110 |
10 | 132100010023122 |
11 | 391003328aa689 |
12 | 12995a4a0ab816 |
13 | 5892c9272821b |
14 | 248996315b918 |
15 | 10413575e084c |
hex | 7824ee2c18d2 |
132100010023122 has 96 divisors (see below), whose sum is σ = 296992864396800. Its totient is φ = 42384786200064.
The previous prime is 132100010023097. The next prime is 132100010023133. The reversal of 132100010023122 is 221320010001231.
132100010023122 is digitally balanced in base 3, 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 (18).
It is a junction number, because it is equal to n+sod(n) for n = 132100010023095 and 132100010023104.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2279640553 + ... + 2279698499.
It is an arithmetic number, because the mean of its divisors is an integer number (3093675670800).
Almost surely, 2132100010023122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132100010023122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148496432198400).
132100010023122 is an abundant number, since it is smaller than the sum of its proper divisors (164892854373678).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132100010023122 is a wasteful number, since it uses less digits than its factorization.
132100010023122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 71280 (or 71277 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 132100010023122 its reverse (221320010001231), we get a palindrome (353420020024353).
The spelling of 132100010023122 in words is "one hundred thirty-two trillion, one hundred billion, ten million, twenty-three thousand, one hundred twenty-two".
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