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33312000013 is a prime number
BaseRepresentation
bin11111000001100011…
…001100100000001101
310011222120101221021021
4133001203030200031
51021210333000023
623145303434141
72256334220365
oct370143144015
9104876357237
1033312000013
1113144834726
126558155951
1331ab5b9416
1418802699a5
15cee79c35d
hex7c18cc80d

33312000013 has 2 divisors, whose sum is σ = 33312000014. Its totient is φ = 33312000012.

The previous prime is 33311999993. The next prime is 33312000017. The reversal of 33312000013 is 31000021333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31174139844 + 2137860169 = 176562^2 + 46237^2 .

It is a cyclic number.

It is not a de Polignac number, because 33312000013 - 225 = 33278445581 is a prime.

It is a super-2 number, since 2×333120000132 (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 (33312000017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16656000006 + 16656000007.

It is an arithmetic number, because the mean of its divisors is an integer number (16656000007).

Almost surely, 233312000013 is an apocalyptic number.

It is an amenable number.

33312000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33312000013 is an equidigital number, since it uses as much as digits as its factorization.

33312000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 33312000013 its reverse (31000021333), we get a palindrome (64312021346).

The spelling of 33312000013 in words is "thirty-three billion, three hundred twelve million, thirteen", and thus it is an aban number.