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222123001981 is a prime number
BaseRepresentation
bin1100111011011110010…
…0000000100001111101
3210020100010121121222011
43032313210000201331
512114401442030411
6250013014451221
722022262236026
oct3166744004175
9706303547864
10222123001981
118622470a011
1237070663b11
1317c3b7a95aa
14aa7231dc4d
155ba079cc21
hex33b790087d

222123001981 has 2 divisors, whose sum is σ = 222123001982. Its totient is φ = 222123001980.

The previous prime is 222123001973. The next prime is 222123002033. The reversal of 222123001981 is 189100321222.

222123001981 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198678798756 + 23444203225 = 445734^2 + 153115^2 .

It is a cyclic number.

It is not a de Polignac number, because 222123001981 - 23 = 222123001973 is a prime.

It is a super-2 number, since 2×2221230019812 (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 (222123001931) 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, 111061500990 + 111061500991.

It is an arithmetic number, because the mean of its divisors is an integer number (111061500991).

Almost surely, 2222123001981 is an apocalyptic number.

It is an amenable number.

222123001981 is a deficient number, since it is larger than the sum of its proper divisors (1).

222123001981 is an equidigital number, since it uses as much as digits as its factorization.

222123001981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 222123001981 in words is "two hundred twenty-two billion, one hundred twenty-three million, one thousand, nine hundred eighty-one".