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13431144073 is a prime number
BaseRepresentation
bin11001000001000111…
…01111111010001001
31021200001001210221111
430200203233322021
5210001333102243
610100432010321
7653556561304
oct144043577211
937601053844
1013431144073
115772592376
12272a0909a1
1313607c8c39
14915b19b3b
1553921839d
hex3208efe89

13431144073 has 2 divisors, whose sum is σ = 13431144074. Its totient is φ = 13431144072.

The previous prime is 13431144019. The next prime is 13431144119. The reversal of 13431144073 is 37044113431.

13431144073 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., 8602006009 + 4829138064 = 92747^2 + 69492^2 .

It is a cyclic number.

It is not a de Polignac number, because 13431144073 - 213 = 13431135881 is a prime.

It is a super-2 number, since 2×134311440732 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13431142073) 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, 6715572036 + 6715572037.

It is an arithmetic number, because the mean of its divisors is an integer number (6715572037).

Almost surely, 213431144073 is an apocalyptic number.

It is an amenable number.

13431144073 is a deficient number, since it is larger than the sum of its proper divisors (1).

13431144073 is an equidigital number, since it uses as much as digits as its factorization.

13431144073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 13431144073 in words is "thirteen billion, four hundred thirty-one million, one hundred forty-four thousand, seventy-three".