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33023300329 is a prime number
BaseRepresentation
bin11110110000010101…
…111001001011101001
310011020110011110202101
4132300111321023221
51020112431102304
623100511533401
72246230264345
oct366025711351
9104213143671
1033023300329
1113006879348
12649752a261
133163846cc6
141853b98625
15cd42718a4
hex7b05792e9

33023300329 has 2 divisors, whose sum is σ = 33023300330. Its totient is φ = 33023300328.

The previous prime is 33023300327. The next prime is 33023300339. The reversal of 33023300329 is 92300332033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23088194704 + 9935105625 = 151948^2 + 99675^2 .

It is a cyclic number.

It is not a de Polignac number, because 33023300329 - 21 = 33023300327 is a prime.

Together with 33023300327, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 33023300297 and 33023300306.

It is not a weakly prime, because it can be changed into another prime (33023300327) 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, 16511650164 + 16511650165.

It is an arithmetic number, because the mean of its divisors is an integer number (16511650165).

Almost surely, 233023300329 is an apocalyptic number.

It is an amenable number.

33023300329 is a deficient number, since it is larger than the sum of its proper divisors (1).

33023300329 is an equidigital number, since it uses as much as digits as its factorization.

33023300329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 28.

The spelling of 33023300329 in words is "thirty-three billion, twenty-three million, three hundred thousand, three hundred twenty-nine".