Search a number
-
+
122120310293 is a prime number
BaseRepresentation
bin111000110111011110…
…0000000111000010101
3102200012202220112102022
41301232330000320111
54000100244412133
6132033514022525
711552153340032
oct1615674007025
9380182815368
10122120310293
1147877805683
121b801a17a45
13b692566947
145ca6b9c389
15329b1d0998
hex1c6ef00e15

122120310293 has 2 divisors, whose sum is σ = 122120310294. Its totient is φ = 122120310292.

The previous prime is 122120310223. The next prime is 122120310329. The reversal of 122120310293 is 392013021221.

Together with next prime (122120310329) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99905302084 + 22215008209 = 316078^2 + 149047^2 .

It is a cyclic number.

It is not a de Polignac number, because 122120310293 - 214 = 122120293909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122120310223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060155146 + 61060155147.

It is an arithmetic number, because the mean of its divisors is an integer number (61060155147).

Almost surely, 2122120310293 is an apocalyptic number.

It is an amenable number.

122120310293 is a deficient number, since it is larger than the sum of its proper divisors (1).

122120310293 is an equidigital number, since it uses as much as digits as its factorization.

122120310293 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 122120310293 in words is "one hundred twenty-two billion, one hundred twenty million, three hundred ten thousand, two hundred ninety-three".