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12400413301 is a prime number
BaseRepresentation
bin10111000110001111…
…10100101001110101
31012000012120021010201
423203013310221311
5200344001211201
65410251520501
7616202526313
oct134307645165
935005507121
1012400413301
11529378a061
1224a0a59131
1312280bc283
14858c8d0b3
154c89b6801
hex2e31f4a75

12400413301 has 2 divisors, whose sum is σ = 12400413302. Its totient is φ = 12400413300.

The previous prime is 12400413293. The next prime is 12400413317. The reversal of 12400413301 is 10331400421.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8651790225 + 3748623076 = 93015^2 + 61226^2 .

It is an emirp because it is prime and its reverse (10331400421) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12400413301 - 23 = 12400413293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12400413391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6200206650 + 6200206651.

It is an arithmetic number, because the mean of its divisors is an integer number (6200206651).

Almost surely, 212400413301 is an apocalyptic number.

It is an amenable number.

12400413301 is a deficient number, since it is larger than the sum of its proper divisors (1).

12400413301 is an equidigital number, since it uses as much as digits as its factorization.

12400413301 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 19.

Adding to 12400413301 its reverse (10331400421), we get a palindrome (22731813722).

The spelling of 12400413301 in words is "twelve billion, four hundred million, four hundred thirteen thousand, three hundred one".