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222013201133 is a prime number
BaseRepresentation
bin1100111011000100000…
…1001001101011101101
3210020001111000011112002
43032301001021223231
512114140334414013
6245554053222045
722016460033653
oct3166101115355
9706044004462
10222013201133
1186178734009
123703b931925
1317c21b13a89
14aa618dadd3
155b95d0e358
hex33b1049aed

222013201133 has 2 divisors, whose sum is σ = 222013201134. Its totient is φ = 222013201132.

The previous prime is 222013201031. The next prime is 222013201169. The reversal of 222013201133 is 331102310222.

222013201133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128965019689 + 93048181444 = 359117^2 + 305038^2 .

It is a cyclic number.

It is not a de Polignac number, because 222013201133 - 210 = 222013200109 is a prime.

It is a super-2 number, since 2×2220132011332 (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 (222013200133) 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, 111006600566 + 111006600567.

It is an arithmetic number, because the mean of its divisors is an integer number (111006600567).

Almost surely, 2222013201133 is an apocalyptic number.

It is an amenable number.

222013201133 is a deficient number, since it is larger than the sum of its proper divisors (1).

222013201133 is an equidigital number, since it uses as much as digits as its factorization.

222013201133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 222013201133 its reverse (331102310222), we get a palindrome (553115511355).

The spelling of 222013201133 in words is "two hundred twenty-two billion, thirteen million, two hundred one thousand, one hundred thirty-three".