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12401134393 is a prime number
BaseRepresentation
bin10111000110010101…
…00100101100111001
31012000020220220021211
423203022210230321
5200344142300033
65410315203121
7616211621524
oct134312445471
935006826254
1012401134393
1152941318aa
1224a11464a1
1312282b255b
14858dd9bbb
154c8aaa2cd
hex2e32a4b39

12401134393 has 2 divisors, whose sum is σ = 12401134394. Its totient is φ = 12401134392.

The previous prime is 12401134391. The next prime is 12401134433. The reversal of 12401134393 is 39343110421.

12401134393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7788415504 + 4612718889 = 88252^2 + 67917^2 .

It is a cyclic number.

It is not a de Polignac number, because 12401134393 - 21 = 12401134391 is a prime.

Together with 12401134391, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12401134391) by changing a digit.

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 as a sum of consecutive naturals, namely, 6200567196 + 6200567197.

It is an arithmetic number, because the mean of its divisors is an integer number (6200567197).

Almost surely, 212401134393 is an apocalyptic number.

It is an amenable number.

12401134393 is a deficient number, since it is larger than the sum of its proper divisors (1).

12401134393 is an equidigital number, since it uses as much as digits as its factorization.

12401134393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

It can be divided in two parts, 124011 and 34393, that added together give a square (158404 = 3982).

The spelling of 12401134393 in words is "twelve billion, four hundred one million, one hundred thirty-four thousand, three hundred ninety-three".