Search a number
-
+
2202012022181 is a prime number
BaseRepresentation
bin100000000010110010001…
…001001111010110100101
321210111210000002212000112
4200002302021033112211
5242034210034202211
64403331303422405
7315042624234656
oct40026211172645
97714700085015
102202012022181
11779960420034
122b6921454a05
1312c8586799ca
1478813c7952d
153c42cddb88b
hex200b224f5a5

2202012022181 has 2 divisors, whose sum is σ = 2202012022182. Its totient is φ = 2202012022180.

The previous prime is 2202012022139. The next prime is 2202012022183. The reversal of 2202012022181 is 1812202102022.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2177365848100 + 24646174081 = 1475590^2 + 156991^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202012022181 - 218 = 2202011760037 is a prime.

It is a super-2 number, since 2×22020120221812 (a number of 25 digits) contains 22 as substring.

Together with 2202012022183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2202012022183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101006011090 + 1101006011091.

It is an arithmetic number, because the mean of its divisors is an integer number (1101006011091).

Almost surely, 22202012022181 is an apocalyptic number.

It is an amenable number.

2202012022181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202012022181 is an equidigital number, since it uses as much as digits as its factorization.

2202012022181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

The spelling of 2202012022181 in words is "two trillion, two hundred two billion, twelve million, twenty-two thousand, one hundred eighty-one".