Search a number
-
+
122313120019 is a prime number
BaseRepresentation
bin111000111101001101…
…1100001100100010011
3102200201012201021122021
41301322123201210103
54000444124320034
6132105002352311
711560014236356
oct1617233414423
9380635637567
10122313120019
1147966627462
121b8564bb697
13b6c34a423c
145cc462c29d
1532ad0b96b4
hex1c7a6e1913

122313120019 has 2 divisors, whose sum is σ = 122313120020. Its totient is φ = 122313120018.

The previous prime is 122313119977. The next prime is 122313120031. The reversal of 122313120019 is 910021313221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122313120019 - 27 = 122313119891 is a prime.

It is a super-2 number, since 2×1223131200192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122313119975 and 122313120002.

It is not a weakly prime, because it can be changed into another prime (122313120079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156560009 + 61156560010.

It is an arithmetic number, because the mean of its divisors is an integer number (61156560010).

Almost surely, 2122313120019 is an apocalyptic number.

122313120019 is a deficient number, since it is larger than the sum of its proper divisors (1).

122313120019 is an equidigital number, since it uses as much as digits as its factorization.

122313120019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 122313120019 in words is "one hundred twenty-two billion, three hundred thirteen million, one hundred twenty thousand, nineteen".