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12005053153 is a prime number
BaseRepresentation
bin10110010111000111…
…01001001011100001
31010222122121212222021
423023203221023201
5144041243200103
65303125541441
7603332160652
oct131343511341
933878555867
1012005053153
1151005a3135
1223b0574881
131194213862
1481c575529
154a3e1cbbd
hex2cb8e92e1

12005053153 has 2 divisors, whose sum is σ = 12005053154. Its totient is φ = 12005053152.

The previous prime is 12005053139. The next prime is 12005053253. The reversal of 12005053153 is 35135050021.

12005053153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11834828944 + 170224209 = 108788^2 + 13047^2 .

It is a cyclic number.

It is not a de Polignac number, because 12005053153 - 29 = 12005052641 is a prime.

It is not a weakly prime, because it can be changed into another prime (12005053253) 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, 6002526576 + 6002526577.

It is an arithmetic number, because the mean of its divisors is an integer number (6002526577).

Almost surely, 212005053153 is an apocalyptic number.

It is an amenable number.

12005053153 is a deficient number, since it is larger than the sum of its proper divisors (1).

12005053153 is an equidigital number, since it uses as much as digits as its factorization.

12005053153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2250, while the sum is 25.

The spelling of 12005053153 in words is "twelve billion, five million, fifty-three thousand, one hundred fifty-three".