Base | Representation |
---|---|
bin | 1001100110000110001110… |
… | …01111111100000100000000 |
3 | 2202201011100202122022101100 |
4 | 10303003013033330010000 |
5 | 10231201223340431422 |
6 | 112513150330134400 |
7 | 4305304114313664 |
oct | 463030717740400 |
9 | 82634322568340 |
10 | 21100222202112 |
11 | 67a5610395839 |
12 | 2449445881400 |
13 | ba098611ab41 |
14 | 52d3830468a4 |
15 | 268cea0c97ac |
hex | 1330c73fc100 |
21100222202112 has 54 divisors (see below), whose sum is σ = 60837142406222. Its totient is φ = 7033407399936.
The previous prime is 21100222202093. The next prime is 21100222202113. The reversal of 21100222202112 is 21120222200112.
It is a happy number.
21100222202112 is a `hidden beast` number, since 211 + 0 + 0 + 22 + 220 + 211 + 2 = 666.
It can be written as a sum of positive squares in only one way, i.e., 19965025714176 + 1135196487936 = 4468224^2 + 1065456^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (21100222202113) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4579038973 + ... + 4579043580.
Almost surely, 221100222202112 is an apocalyptic number.
It is an amenable number.
21100222202112 is an abundant number, since it is smaller than the sum of its proper divisors (39736920204110).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21100222202112 is an equidigital number, since it uses as much as digits as its factorization.
21100222202112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9158082575 (or 9158082558 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 21100222202112 its reverse (21120222200112), we get a palindrome (42220444402224).
It can be divided in two parts, 2110022 and 2202112, that added together give a palindrome (4312134).
The spelling of 21100222202112 in words is "twenty-one trillion, one hundred billion, two hundred twenty-two million, two hundred two thousand, one hundred twelve".
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