Search a number
-
+
128131956013 is a prime number
BaseRepresentation
bin111011101010101000…
…0100111110100101101
3110020201201212210000111
41313111100213310231
54044403240043023
6134510224300021
712154141440655
oct1672520476455
9406651783014
10128131956013
114a382170026
12209bb171611
13c10cb7c369
1462b735d365
1534edd6900d
hex1dd5427d2d

128131956013 has 2 divisors, whose sum is σ = 128131956014. Its totient is φ = 128131956012.

The previous prime is 128131955999. The next prime is 128131956031. The reversal of 128131956013 is 310659131821.

Together with next prime (128131956031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127308380809 + 823575204 = 356803^2 + 28698^2 .

It is a cyclic number.

It is not a de Polignac number, because 128131956013 - 221 = 128129858861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (128131956913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64065978006 + 64065978007.

It is an arithmetic number, because the mean of its divisors is an integer number (64065978007).

Almost surely, 2128131956013 is an apocalyptic number.

It is an amenable number.

128131956013 is a deficient number, since it is larger than the sum of its proper divisors (1).

128131956013 is an equidigital number, since it uses as much as digits as its factorization.

128131956013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 128131956013 in words is "one hundred twenty-eight billion, one hundred thirty-one million, nine hundred fifty-six thousand, thirteen".