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221223131369 is a prime number
BaseRepresentation
bin1100111000000111101…
…1010001100011101001
3210011000102100110112222
43032001323101203221
512111031110200434
6245343431243425
721661054406402
oct3160173214351
9704012313488
10221223131369
1185902765999
1236a5b219575
1317b27229a86
14a9c89d89a9
155b4b79972e
hex3381ed18e9

221223131369 has 2 divisors, whose sum is σ = 221223131370. Its totient is φ = 221223131368.

The previous prime is 221223131351. The next prime is 221223131411. The reversal of 221223131369 is 963131322122.

221223131369 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., 193567441369 + 27655690000 = 439963^2 + 166300^2 .

It is a cyclic number.

It is not a de Polignac number, because 221223131369 - 28 = 221223131113 is a prime.

It is a super-2 number, since 2×2212231313692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221223131309) 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, 110611565684 + 110611565685.

It is an arithmetic number, because the mean of its divisors is an integer number (110611565685).

Almost surely, 2221223131369 is an apocalyptic number.

It is an amenable number.

221223131369 is a deficient number, since it is larger than the sum of its proper divisors (1).

221223131369 is an equidigital number, since it uses as much as digits as its factorization.

221223131369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 35.

The spelling of 221223131369 in words is "two hundred twenty-one billion, two hundred twenty-three million, one hundred thirty-one thousand, three hundred sixty-nine".