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33013013233 is a prime number
BaseRepresentation
bin11110101111101110…
…101001101011110001
310011012201210211111211
4132233232221223301
51020102312410413
623055503240121
72246043660664
oct365756515361
9104181724454
1033013013233
1113000a92512
126493ba9041
133161684875
14185267b6db
15cd33dd83d
hex7afba9af1

33013013233 has 2 divisors, whose sum is σ = 33013013234. Its totient is φ = 33013013232.

The previous prime is 33013013221. The next prime is 33013013263. The reversal of 33013013233 is 33231031033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27407795809 + 5605217424 = 165553^2 + 74868^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33013013233 is a prime.

It is a super-2 number, since 2×330130132332 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33013013263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16506506616 + 16506506617.

It is an arithmetic number, because the mean of its divisors is an integer number (16506506617).

Almost surely, 233013013233 is an apocalyptic number.

It is an amenable number.

33013013233 is a deficient number, since it is larger than the sum of its proper divisors (1).

33013013233 is an equidigital number, since it uses as much as digits as its factorization.

33013013233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 33013013233 its reverse (33231031033), we get a palindrome (66244044266).

The spelling of 33013013233 in words is "thirty-three billion, thirteen million, thirteen thousand, two hundred thirty-three".