Base | Representation |
---|---|
bin | 11110101110111101000… |
… | …000101000000000001100 |
3 | 21110220102220121100120200 |
4 | 132232331000220000030 |
5 | 234100334000000022 |
6 | 4254123413413500 |
7 | 305405220540240 |
oct | 36567500500014 |
9 | 7426386540520 |
10 | 2112000000012 |
11 | 74476aa38571 |
12 | 2a13a063a290 |
13 | 124212208626 |
14 | 7431552c420 |
15 | 39e10987bac |
hex | 1ebbd02800c |
2112000000012 has 72 divisors (see below), whose sum is σ = 6216452869536. Its totient is φ = 592043122944.
The previous prime is 2111999999987. The next prime is 2112000000113. The reversal of 2112000000012 is 2100000002112.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 2111999999940 and 2112000000003.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79052233 + ... + 79078944.
It is an arithmetic number, because the mean of its divisors is an integer number (86339623188).
Almost surely, 22112000000012 is an apocalyptic number.
It is an amenable number.
2112000000012 is an abundant number, since it is smaller than the sum of its proper divisors (4104452869524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2112000000012 is a wasteful number, since it uses less digits than its factorization.
2112000000012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 158131247 (or 158131242 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 2112000000012 its reverse (2100000002112), we get a palindrome (4212000002124).
It can be divided in two parts, 21 and 12000000012, that multiplied together give a palindrome (252000000252).
The spelling of 2112000000012 in words is "two trillion, one hundred twelve billion, twelve", and thus it is an aban number.
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