Search a number
-
+
128801505013 is a prime number
BaseRepresentation
bin111011111110100101…
…0101111111011110101
3110022110101202101120121
41313331022233323311
54102241141130023
6135100503131541
712206551504606
oct1677512577365
9408411671517
10128801505013
114a696101105
1220b67443bb1
13c1b87b93bc
14633c24bdad
15353ca23d5d
hex1dfd2afef5

128801505013 has 2 divisors, whose sum is σ = 128801505014. Its totient is φ = 128801505012.

The previous prime is 128801505011. The next prime is 128801505017. The reversal of 128801505013 is 310505108821.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95999586244 + 32801918769 = 309838^2 + 181113^2 .

It is a cyclic number.

It is not a de Polignac number, because 128801505013 - 21 = 128801505011 is a prime.

It is a super-2 number, since 2×1288015050132 (a number of 23 digits) contains 22 as substring.

Together with 128801505011, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 128801505013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (128801505011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64400752506 + 64400752507.

It is an arithmetic number, because the mean of its divisors is an integer number (64400752507).

Almost surely, 2128801505013 is an apocalyptic number.

It is an amenable number.

128801505013 is a deficient number, since it is larger than the sum of its proper divisors (1).

128801505013 is an equidigital number, since it uses as much as digits as its factorization.

128801505013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9600, while the sum is 34.

The spelling of 128801505013 in words is "one hundred twenty-eight billion, eight hundred one million, five hundred five thousand, thirteen".