Search a number
-
+
122223133030093 is a prime number
BaseRepresentation
bin11011110010100101001010…
…011011010111011011001101
3121000202102021021210020222021
4123302211022123113123031
5112010000434023430333
61111540310541050141
734513221114146524
oct3362451233273315
9530672237706867
10122223133030093
1135a425a3277087
121185b7b3b56951
1353277907a90a4
1422278ba03b4bb
15e1e4868e382d
hex6f294a6d76cd

122223133030093 has 2 divisors, whose sum is σ = 122223133030094. Its totient is φ = 122223133030092.

The previous prime is 122223133030091. The next prime is 122223133030211. The reversal of 122223133030093 is 390030331322221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93315542040009 + 28907590990084 = 9659997^2 + 5376578^2 .

It is a cyclic number.

It is not a de Polignac number, because 122223133030093 - 21 = 122223133030091 is a prime.

Together with 122223133030091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122223133030091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61111566515046 + 61111566515047.

It is an arithmetic number, because the mean of its divisors is an integer number (61111566515047).

Almost surely, 2122223133030093 is an apocalyptic number.

It is an amenable number.

122223133030093 is a deficient number, since it is larger than the sum of its proper divisors (1).

122223133030093 is an equidigital number, since it uses as much as digits as its factorization.

122223133030093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 34.

The spelling of 122223133030093 in words is "one hundred twenty-two trillion, two hundred twenty-three billion, one hundred thirty-three million, thirty thousand, ninety-three".