Base | Representation |
---|---|
bin | 1001100110101101001001… |
… | …11110110000111010010000 |
3 | 2202210011022022111200201100 |
4 | 10303112210332300322100 |
5 | 10232022024230023440 |
6 | 112530524243504400 |
7 | 4306644044520213 |
oct | 463264476607220 |
9 | 82704268450640 |
10 | 21121122111120 |
11 | 6803465894809 |
12 | 24514b9088100 |
13 | ba29370898c5 |
14 | 5303a6a6377a |
15 | 26961ed55230 |
hex | 1335a4fb0e90 |
21121122111120 has 240 divisors, whose sum is σ = 71206326681984. Its totient is φ = 5610521856000.
The previous prime is 21121122111097. The next prime is 21121122111139. The reversal of 21121122111120 is 2111122112112.
It is a happy number.
21121122111120 is a `hidden beast` number, since 211 + 211 + 2 + 211 + 11 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×211211221111202 (a number of 27 digits) contains 22 as substring.
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 = 21121122111093 and 21121122111102.
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, 351748300 + ... + 351808340.
Almost surely, 221121122111120 is an apocalyptic number.
21121122111120 is a gapful number since it is divisible by the number (20) 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 21121122111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35603163340992).
21121122111120 is an abundant number, since it is smaller than the sum of its proper divisors (50085204570864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21121122111120 is a wasteful number, since it uses less digits than its factorization.
21121122111120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 61942 (or 61933 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 18.
Adding to 21121122111120 its reverse (2111122112112), we get a palindrome (23232244223232).
The spelling of 21121122111120 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty".
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