Base | Representation |
---|---|
bin | 11101100100101000100… |
… | …100001111111100001000 |
3 | 21012021110112001112111122 |
4 | 131210220210033330020 |
5 | 231243421212401440 |
6 | 4153325125214412 |
7 | 266551546012100 |
oct | 35445044177410 |
9 | 7167415045448 |
10 | 2032200122120 |
11 | 71393aa98163 |
12 | 289a2b861408 |
13 | 1198356a157c |
14 | 705051a8200 |
15 | 37cded497b5 |
hex | 1d92890ff08 |
2032200122120 has 192 divisors, whose sum is σ = 5506852878000. Its totient is φ = 672182181888.
The previous prime is 2032200122107. The next prime is 2032200122171. The reversal of 2032200122120 is 212210022302.
It can be written as a sum of positive squares in 8 ways, for example, as 1634117362276 + 398082759844 = 1278326^2 + 630938^2 .
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 73252892 + ... + 73280628.
Almost surely, 22032200122120 is an apocalyptic number.
2032200122120 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 2032200122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753426439000).
2032200122120 is an abundant number, since it is smaller than the sum of its proper divisors (3474652755880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2032200122120 is a wasteful number, since it uses less digits than its factorization.
2032200122120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 29080 (or 29069 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 17.
Adding to 2032200122120 its reverse (212210022302), we get a palindrome (2244410144422).
The spelling of 2032200122120 in words is "two trillion, thirty-two billion, two hundred million, one hundred twenty-two thousand, one hundred twenty".
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