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2212123202033 is a prime number
BaseRepresentation
bin100000001100001100110…
…100010101000111110001
321211110212200002000020012
4200030030310111013301
5242220412014431113
64412122501224305
7315551321654303
oct40141464250761
97743780060205
102212123202033
11783179972118
122b8883702095
131307aa3c3574
14790d2a9d973
153c82090baa8
hex2030cd151f1

2212123202033 has 2 divisors, whose sum is σ = 2212123202034. Its totient is φ = 2212123202032.

The previous prime is 2212123202017. The next prime is 2212123202059. The reversal of 2212123202033 is 3302023212122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2098650563584 + 113472638449 = 1448672^2 + 336857^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212123202033 - 24 = 2212123202017 is a prime.

It is not a weakly prime, because it can be changed into another prime (2212123252033) 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, 1106061601016 + 1106061601017.

It is an arithmetic number, because the mean of its divisors is an integer number (1106061601017).

Almost surely, 22212123202033 is an apocalyptic number.

It is an amenable number.

2212123202033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212123202033 is an equidigital number, since it uses as much as digits as its factorization.

2212123202033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2212123202033 its reverse (3302023212122), we get a palindrome (5514146414155).

The spelling of 2212123202033 in words is "two trillion, two hundred twelve billion, one hundred twenty-three million, two hundred two thousand, thirty-three".