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12983153 is a prime number
BaseRepresentation
bin110001100001…
…101101110001
3220102121112112
4301201231301
511310430103
61142135105
7215232521
oct61415561
926377475
1012983153
117368487
124421495
1328c7651
141a1d681
151216cd8
hexc61b71

12983153 has 2 divisors, whose sum is σ = 12983154. Its totient is φ = 12983152.

The previous prime is 12983111. The next prime is 12983161. The reversal of 12983153 is 35138921.

12983153 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., 7656289 + 5326864 = 2767^2 + 2308^2 .

It is an emirp because it is prime and its reverse (35138921) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12983153 - 28 = 12982897 is a prime.

It is a super-4 number, since 4×129831534 (a number of 30 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (12980153) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6491576 + 6491577.

It is an arithmetic number, because the mean of its divisors is an integer number (6491577).

Almost surely, 212983153 is an apocalyptic number.

It is an amenable number.

12983153 is a deficient number, since it is larger than the sum of its proper divisors (1).

12983153 is an equidigital number, since it uses as much as digits as its factorization.

12983153 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6480, while the sum is 32.

The square root of 12983153 is about 3603.2142595189. The cubic root of 12983153 is about 235.0318532347.

The spelling of 12983153 in words is "twelve million, nine hundred eighty-three thousand, one hundred fifty-three".