Base | Representation |
---|---|
bin | 100001011111111010100… |
… | …111010001010110010000 |
3 | 22011001220011220020210200 |
4 | 201133322213101112100 |
5 | 300204010044231112 |
6 | 4521310232255200 |
7 | 325213002005166 |
oct | 41377247212620 |
9 | 8131804806720 |
10 | 2302012102032 |
11 | 808306900125 |
12 | 31218b241500 |
13 | 1391041b68a6 |
14 | 7d5bcd1b236 |
15 | 3ed3213ecdc |
hex | 217fa9d1590 |
2302012102032 has 60 divisors (see below), whose sum is σ = 6548050387164. Its totient is φ = 754758063360.
The previous prime is 2302012102003. The next prime is 2302012102037.
2302012102032 is a `hidden beast` number, since 230 + 20 + 1 + 210 + 203 + 2 = 666.
2302012102032 is nontrivially palindromic in base 10.
2302012102032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 813719460096 + 1488292641936 = 902064^2 + 1219956^2 .
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 = 2302012101996 and 2302012102014.
It is not an unprimeable number, because it can be changed into a prime (2302012102037) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131025603 + ... + 131043170.
Almost surely, 22302012102032 is an apocalyptic number.
It is an amenable number.
2302012102032 is an abundant number, since it is smaller than the sum of its proper divisors (4246038285132).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2302012102032 is a wasteful number, since it uses less digits than its factorization.
2302012102032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 262068848 (or 262068839 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The spelling of 2302012102032 in words is "two trillion, three hundred two billion, twelve million, one hundred two thousand, thirty-two".
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