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13538903201 is a prime number
BaseRepresentation
bin11001001101111101…
…10100010010100001
31021221112211112200022
430212332310102201
5210211424400301
610115241403225
7656335530665
oct144676642241
937845745608
1013538903201
1158183a33aa
12275a199515
131379c28335
1492616a8a5
15543901d1b
hex326fb44a1

13538903201 has 2 divisors, whose sum is σ = 13538903202. Its totient is φ = 13538903200.

The previous prime is 13538903179. The next prime is 13538903221. The reversal of 13538903201 is 10230983531.

It is a happy number.

13538903201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7002342400 + 6536560801 = 83680^2 + 80849^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13538903201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13538903221) 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, 6769451600 + 6769451601.

It is an arithmetic number, because the mean of its divisors is an integer number (6769451601).

Almost surely, 213538903201 is an apocalyptic number.

It is an amenable number.

13538903201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13538903201 is an equidigital number, since it uses as much as digits as its factorization.

13538903201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 13538903201 in words is "thirteen billion, five hundred thirty-eight million, nine hundred three thousand, two hundred one".