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12002000113381 is a prime number
BaseRepresentation
bin1010111010100110111011…
…1101000000111011100101
31120111101021000122101112211
42232221232331000323211
53033120044012112011
641305350455243421
72346054515465605
oct256515675007345
946441230571484
1012002000113381
113908024199673
12141a099679571
13690a25ba6725
142d6c854a6c05
1515c2ed806b21
hexaea6ef40ee5

12002000113381 has 2 divisors, whose sum is σ = 12002000113382. Its totient is φ = 12002000113380.

The previous prime is 12002000113303. The next prime is 12002000113387. The reversal of 12002000113381 is 18331100020021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7959451562500 + 4042548550881 = 2821250^2 + 2010609^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12002000113381 is a prime.

It is a super-2 number, since 2×120020001133812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12002000113387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001000056690 + 6001000056691.

It is an arithmetic number, because the mean of its divisors is an integer number (6001000056691).

Almost surely, 212002000113381 is an apocalyptic number.

It is an amenable number.

12002000113381 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002000113381 is an equidigital number, since it uses as much as digits as its factorization.

12002000113381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 12002000113381 in words is "twelve trillion, two billion, one hundred thirteen thousand, three hundred eighty-one".