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13620101617 is a prime number
BaseRepresentation
bin11001010111101001…
…00100000111110001
31022011012121211222001
430223310210013301
5210343221222432
610131302014001
7661342645033
oct145364440761
938135554861
1013620101617
11585a212a31
122781417301
1313909b8035
14932c65c53
1554aae09e7
hex32bd241f1

13620101617 has 2 divisors, whose sum is σ = 13620101618. Its totient is φ = 13620101616.

The previous prime is 13620101611. The next prime is 13620101639. The reversal of 13620101617 is 71610102631.

13620101617 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., 13179269601 + 440832016 = 114801^2 + 20996^2 .

It is an emirp because it is prime and its reverse (71610102631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13620101617 - 27 = 13620101489 is a prime.

It is not a weakly prime, because it can be changed into another prime (13620101611) 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, 6810050808 + 6810050809.

It is an arithmetic number, because the mean of its divisors is an integer number (6810050809).

Almost surely, 213620101617 is an apocalyptic number.

It is an amenable number.

13620101617 is a deficient number, since it is larger than the sum of its proper divisors (1).

13620101617 is an equidigital number, since it uses as much as digits as its factorization.

13620101617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 13620101617 in words is "thirteen billion, six hundred twenty million, one hundred one thousand, six hundred seventeen".