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13155678401 is a prime number
BaseRepresentation
bin11000100000010001…
…11011100011000001
31020221211201201002012
430100020323203001
5203420323202101
610013231502305
7644003264345
oct142010734301
936854651065
1013155678401
115641045998
122671987995
13131870b3b8
148cb2d1625
1551ee53bbb
hex31023b8c1

13155678401 has 2 divisors, whose sum is σ = 13155678402. Its totient is φ = 13155678400.

The previous prime is 13155678359. The next prime is 13155678427. The reversal of 13155678401 is 10487655131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9845402176 + 3310276225 = 99224^2 + 57535^2 .

It is a cyclic number.

It is not a de Polignac number, because 13155678401 - 214 = 13155662017 is a prime.

It is not a weakly prime, because it can be changed into another prime (13155678101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6577839200 + 6577839201.

It is an arithmetic number, because the mean of its divisors is an integer number (6577839201).

Almost surely, 213155678401 is an apocalyptic number.

It is an amenable number.

13155678401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13155678401 is an equidigital number, since it uses as much as digits as its factorization.

13155678401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 41.

The spelling of 13155678401 in words is "thirteen billion, one hundred fifty-five million, six hundred seventy-eight thousand, four hundred one".