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223033121102329 is a prime number
BaseRepresentation
bin110010101101100011110001…
…111101001101100111111001
31002020200202110200120011112221
4302231203301331031213321
5213213133313000233304
62110204000143204041
764656416441330206
oct6255436175154771
91066622420504487
10223033121102329
11650798a74454aa
1221021390ba6621
13975ac18c709c5
143d10c09910cad
151abb90b2a9054
hexcad8f1f4d9f9

223033121102329 has 2 divisors, whose sum is σ = 223033121102330. Its totient is φ = 223033121102328.

The previous prime is 223033121102279. The next prime is 223033121102347. The reversal of 223033121102329 is 923201121330322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153277968780304 + 69755152322025 = 12380548^2 + 8351955^2 .

It is a cyclic number.

It is not a de Polignac number, because 223033121102329 - 211 = 223033121100281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 223033121102294 and 223033121102303.

It is not a weakly prime, because it can be changed into another prime (223033121102929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111516560551164 + 111516560551165.

It is an arithmetic number, because the mean of its divisors is an integer number (111516560551165).

Almost surely, 2223033121102329 is an apocalyptic number.

It is an amenable number.

223033121102329 is a deficient number, since it is larger than the sum of its proper divisors (1).

223033121102329 is an equidigital number, since it uses as much as digits as its factorization.

223033121102329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 223033121102329 in words is "two hundred twenty-three trillion, thirty-three billion, one hundred twenty-one million, one hundred two thousand, three hundred twenty-nine".