Base | Representation |
---|---|
bin | 1010111010101000000110… |
… | …0011111010111010011000 |
3 | 1120111102001210002020010212 |
4 | 2232222001203322322120 |
5 | 3033121213422132412 |
6 | 41305441450430252 |
7 | 2346065326162310 |
oct | 256520143727230 |
9 | 46442053066125 |
10 | 12002312302232 |
11 | 390817443878a |
12 | 141a166132388 |
13 | 690a75781465 |
14 | 2d6cb4b30440 |
15 | 15c31ae22222 |
hex | aea818fae98 |
12002312302232 has 128 divisors (see below), whose sum is σ = 27222518016000. Its totient is φ = 4851802851840.
The previous prime is 12002312302193. The next prime is 12002312302249. The reversal of 12002312302232 is 23220321320021.
12002312302232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×120023123022322 (a number of 27 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 12002312302198 and 12002312302207.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41148119 + ... + 41438777.
It is an arithmetic number, because the mean of its divisors is an integer number (212675922000).
Almost surely, 212002312302232 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12002312302232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13611259008000).
12002312302232 is an abundant number, since it is smaller than the sum of its proper divisors (15220205713768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12002312302232 is a wasteful number, since it uses less digits than its factorization.
12002312302232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 291289 (or 291285 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 23.
Adding to 12002312302232 its reverse (23220321320021), we get a palindrome (35222633622253).
The spelling of 12002312302232 in words is "twelve trillion, two billion, three hundred twelve million, three hundred two thousand, two hundred thirty-two".
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