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222012211321 is a prime number
BaseRepresentation
bin1100111011000011110…
…1011000000001111001
3210020001102010212202101
43032300331120001321
512114140111230241
6245554020103401
722016445442135
oct3166075300171
9706042125671
10222012211321
118617811838a
123703b534b61
1317c218583a4
14aa617203c5
155b95bb5e31
hex33b0f58079

222012211321 has 2 divisors, whose sum is σ = 222012211322. Its totient is φ = 222012211320.

The previous prime is 222012211301. The next prime is 222012211361. The reversal of 222012211321 is 123112210222.

222012211321 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., 215969325625 + 6042885696 = 464725^2 + 77736^2 .

It is a cyclic number.

It is not a de Polignac number, because 222012211321 - 229 = 221475340409 is a prime.

It is not a weakly prime, because it can be changed into another prime (222012211301) 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, 111006105660 + 111006105661.

It is an arithmetic number, because the mean of its divisors is an integer number (111006105661).

Almost surely, 2222012211321 is an apocalyptic number.

It is an amenable number.

222012211321 is a deficient number, since it is larger than the sum of its proper divisors (1).

222012211321 is an equidigital number, since it uses as much as digits as its factorization.

222012211321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 222012211321 its reverse (123112210222), we get a palindrome (345124421543).

The spelling of 222012211321 in words is "two hundred twenty-two billion, twelve million, two hundred eleven thousand, three hundred twenty-one".