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33233133013 is a prime number
BaseRepresentation
bin11110111100110110…
…010101110111010101
310011210002000002002021
4132330312111313111
51021030140224023
623133405213141
72254355653423
oct367466256725
9104702002067
1033233133013
1113104267793
1265358611b1
133198164962
1418739ba113
15ce78be35d
hex7bcd95dd5

33233133013 has 2 divisors, whose sum is σ = 33233133014. Its totient is φ = 33233133012.

The previous prime is 33233132983. The next prime is 33233133083. The reversal of 33233133013 is 31033133233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26982333169 + 6250799844 = 164263^2 + 79062^2 .

It is a cyclic number.

It is not a de Polignac number, because 33233133013 - 221 = 33231035861 is a prime.

It is a super-2 number, since 2×332331330132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33233133083) 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, 16616566506 + 16616566507.

It is an arithmetic number, because the mean of its divisors is an integer number (16616566507).

Almost surely, 233233133013 is an apocalyptic number.

It is an amenable number.

33233133013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33233133013 is an equidigital number, since it uses as much as digits as its factorization.

33233133013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 25.

Adding to 33233133013 its reverse (31033133233), we get a palindrome (64266266246).

The spelling of 33233133013 in words is "thirty-three billion, two hundred thirty-three million, one hundred thirty-three thousand, thirteen".