Search a number
-
+
122120199913 is a prime number
BaseRepresentation
bin111000110111011101…
…1100101111011101001
3102200012202200221000011
41301232323211323221
54000100232344123
6132033511411521
711552152400155
oct1615673457351
9380182627004
10122120199913
114787773a758
121b801983ba1
13b69252862a
145ca6b70065
15329b1ace0d
hex1c6eee5ee9

122120199913 has 2 divisors, whose sum is σ = 122120199914. Its totient is φ = 122120199912.

The previous prime is 122120199833. The next prime is 122120199989. The reversal of 122120199913 is 319991021221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88368263824 + 33751936089 = 297268^2 + 183717^2 .

It is an emirp because it is prime and its reverse (319991021221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122120199913 is a prime.

It is not a weakly prime, because it can be changed into another prime (122120199413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060099956 + 61060099957.

It is an arithmetic number, because the mean of its divisors is an integer number (61060099957).

Almost surely, 2122120199913 is an apocalyptic number.

It is an amenable number.

122120199913 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120199913 is an equidigital number, since it uses as much as digits as its factorization.

122120199913 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 40.

The spelling of 122120199913 in words is "one hundred twenty-two billion, one hundred twenty million, one hundred ninety-nine thousand, nine hundred thirteen".