Search a number
-
+
122011220210993 is a prime number
BaseRepresentation
bin11011101111011111110011…
…011100000111010100110001
3121000000011021201102122211122
4123233133303130013110301
5111443012434333222433
61111255103013552025
734462006531000511
oct3357376334072461
9530004251378748
10122011220210993
1135970738a8a643
1211826712945615
1353107bb3cb139
14221b535b53841
15e18bd26c0198
hex6ef7f3707531

122011220210993 has 2 divisors, whose sum is σ = 122011220210994. Its totient is φ = 122011220210992.

The previous prime is 122011220210989. The next prime is 122011220211017. The reversal of 122011220210993 is 399012022110221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62415182507584 + 59596037703409 = 7900328^2 + 7719847^2 .

It is a cyclic number.

It is not a de Polignac number, because 122011220210993 - 22 = 122011220210989 is a prime.

It is not a weakly prime, because it can be changed into another prime (122011220210953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61005610105496 + 61005610105497.

It is an arithmetic number, because the mean of its divisors is an integer number (61005610105497).

Almost surely, 2122011220210993 is an apocalyptic number.

It is an amenable number.

122011220210993 is a deficient number, since it is larger than the sum of its proper divisors (1).

122011220210993 is an equidigital number, since it uses as much as digits as its factorization.

122011220210993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 122011220210993 in words is "one hundred twenty-two trillion, eleven billion, two hundred twenty million, two hundred ten thousand, nine hundred ninety-three".