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1022222331329 is a prime number
BaseRepresentation
bin11101110000000010011…
…00101110110111000001
310121201112102122211012112
432320001030232313001
5113222002404100304
62101334044105105
7133565423311013
oct16700114566701
93551472584175
101022222331329
11364581947381
12146144235195
137551a1c3414
14376939401b3
151b8cc660b6e
hexee0132edc1

1022222331329 has 2 divisors, whose sum is σ = 1022222331330. Its totient is φ = 1022222331328.

The previous prime is 1022222331283. The next prime is 1022222331331. The reversal of 1022222331329 is 9231332222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1021686316225 + 536015104 = 1010785^2 + 23152^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022222331329 - 28 = 1022222331073 is a prime.

Together with 1022222331331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022222331295 and 1022222331304.

It is not a weakly prime, because it can be changed into another prime (1022222381329) 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, 511111165664 + 511111165665.

It is an arithmetic number, because the mean of its divisors is an integer number (511111165665).

Almost surely, 21022222331329 is an apocalyptic number.

It is an amenable number.

1022222331329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022222331329 is an equidigital number, since it uses as much as digits as its factorization.

1022222331329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 1022222331329 in words is "one trillion, twenty-two billion, two hundred twenty-two million, three hundred thirty-one thousand, three hundred twenty-nine".