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2122201981 is a prime number
BaseRepresentation
bin111111001111110…
…0011101101111101
312110220022000211101
41332133203231331
513321240430411
6550330053101
7103406263534
oct17637435575
95426260741
102122201981
11999a22839
124b287a191
1327a892623
14161bc931b
15c64a08c1
hex7e7e3b7d

2122201981 has 2 divisors, whose sum is σ = 2122201982. Its totient is φ = 2122201980.

The previous prime is 2122201957. The next prime is 2122202029. The reversal of 2122201981 is 1891022212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1639521081 + 482680900 = 40491^2 + 21970^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122201981 - 213 = 2122193789 is a prime.

It is a super-2 number, since 2×21222019812 = 9007482496320648722, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122201931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061100990 + 1061100991.

It is an arithmetic number, because the mean of its divisors is an integer number (1061100991).

Almost surely, 22122201981 is an apocalyptic number.

It is an amenable number.

2122201981 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122201981 is an equidigital number, since it uses as much as digits as its factorization.

2122201981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 2122201981 is about 46067.3635125780. The cubic root of 2122201981 is about 1285.0762733875.

The spelling of 2122201981 in words is "two billion, one hundred twenty-two million, two hundred one thousand, nine hundred eighty-one".