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13144562201 is a prime number
BaseRepresentation
bin11000011110111101…
…00001101000011001
31020221001210221112002
430033132201220121
5203410001442301
610012153330345
7643506635531
oct141736415031
936831727462
1013144562201
115635843151
12266a1069b5
131316318774
148c9a3a4c1
1551deaa16b
hex30f7a1a19

13144562201 has 2 divisors, whose sum is σ = 13144562202. Its totient is φ = 13144562200.

The previous prime is 13144562173. The next prime is 13144562203. The reversal of 13144562201 is 10226544131.

13144562201 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., 12215775625 + 928786576 = 110525^2 + 30476^2 .

It is a cyclic number.

It is not a de Polignac number, because 13144562201 - 222 = 13140367897 is a prime.

It is a super-3 number, since 3×131445622013 (a number of 31 digits) contains 333 as substring.

Together with 13144562203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13144562203) 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, 6572281100 + 6572281101.

It is an arithmetic number, because the mean of its divisors is an integer number (6572281101).

Almost surely, 213144562201 is an apocalyptic number.

It is an amenable number.

13144562201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13144562201 is an equidigital number, since it uses as much as digits as its factorization.

13144562201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 13144562201 in words is "thirteen billion, one hundred forty-four million, five hundred sixty-two thousand, two hundred one".