Base | Representation |
---|---|
bin | 1010111100010100000101… |
… | …0111100110011110010000 |
3 | 1120121011212222202000212200 |
4 | 2233011001113212132100 |
5 | 3034110100311231112 |
6 | 41331034123523200 |
7 | 2351142555335211 |
oct | 257050127463620 |
9 | 46534788660780 |
10 | 12031300102032 |
11 | 391949a285822 |
12 | 14238b6089500 |
13 | 693715227213 |
14 | 2d8464973408 |
15 | 15ce65c59cdc |
hex | af1415e6790 |
12031300102032 has 60 divisors (see below), whose sum is σ = 34492172362284. Its totient is φ = 3912617917440.
The previous prime is 12031300102027. The next prime is 12031300102037. The reversal of 12031300102032 is 23020100313021.
12031300102032 is a `hidden beast` number, since 120 + 31 + 300 + 10 + 203 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (12031300102027) and next prime (12031300102037).
It can be written as a sum of positive squares in 2 ways, for example, as 4546720348416 + 7484579753616 = 2132304^2 + 2735796^2 .
It is a super-2 number, since 2×120313001020322 (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 = 12031300101996 and 12031300102014.
It is not an unprimeable number, because it can be changed into a prime (12031300102037) 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, 1018905013 + ... + 1018916820.
Almost surely, 212031300102032 is an apocalyptic number.
12031300102032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
12031300102032 is an abundant number, since it is smaller than the sum of its proper divisors (22460872260252).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12031300102032 is a wasteful number, since it uses less digits than its factorization.
12031300102032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2037821888 (or 2037821879 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 12031300102032 its reverse (23020100313021), we get a palindrome (35051400415053).
The spelling of 12031300102032 in words is "twelve trillion, thirty-one billion, three hundred million, one hundred two thousand, thirty-two".
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