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13144400281 is a prime number
BaseRepresentation
bin11000011110111011…
…11010000110011001
31020221001111201102001
430033131322012121
5203404431302111
610012150041001
7643505362465
oct141735720631
936831451361
1013144400281
115635742531
12266a049161
13131628cb5c
148c99d74a5
1551de771c1
hex30f77a199

13144400281 has 2 divisors, whose sum is σ = 13144400282. Its totient is φ = 13144400280.

The previous prime is 13144400263. The next prime is 13144400333. The reversal of 13144400281 is 18200444131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11928134656 + 1216265625 = 109216^2 + 34875^2 .

It is a cyclic number.

It is not a de Polignac number, because 13144400281 - 29 = 13144399769 is a prime.

It is a super-2 number, since 2×131444002812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13144407281) 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, 6572200140 + 6572200141.

It is an arithmetic number, because the mean of its divisors is an integer number (6572200141).

Almost surely, 213144400281 is an apocalyptic number.

It is an amenable number.

13144400281 is a deficient number, since it is larger than the sum of its proper divisors (1).

13144400281 is an equidigital number, since it uses as much as digits as its factorization.

13144400281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 13144400281 in words is "thirteen billion, one hundred forty-four million, four hundred thousand, two hundred eighty-one".