Search a number
-
+
122002212181 is a prime number
BaseRepresentation
bin111000110011111100…
…1100000010101010101
3102122220112200112021011
41301213321200111111
53444330031242211
6132014054452221
711546220456463
oct1614771402525
9378815615234
10122002212181
1147817082833
121b78a364071
13b673c575c5
145c95219833
153290b53921
hex1c67e60555

122002212181 has 2 divisors, whose sum is σ = 122002212182. Its totient is φ = 122002212180.

The previous prime is 122002212139. The next prime is 122002212209. The reversal of 122002212181 is 181212200221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113883301156 + 8118911025 = 337466^2 + 90105^2 .

It is a cyclic number.

It is not a de Polignac number, because 122002212181 - 219 = 122001687893 is a prime.

It is a super-2 number, since 2×1220022121812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122002212131) 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, 61001106090 + 61001106091.

It is an arithmetic number, because the mean of its divisors is an integer number (61001106091).

Almost surely, 2122002212181 is an apocalyptic number.

It is an amenable number.

122002212181 is a deficient number, since it is larger than the sum of its proper divisors (1).

122002212181 is an equidigital number, since it uses as much as digits as its factorization.

122002212181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 22.

The spelling of 122002212181 in words is "one hundred twenty-two billion, two million, two hundred twelve thousand, one hundred eighty-one".