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33035602013 is a prime number
BaseRepresentation
bin11110110001000100…
…110100100001011101
310011021022022110111022
4132301010310201131
51020124103231023
623102031333525
72246436661331
oct366104644135
9104238273438
1033035602013
1113012810827
12649b6812a5
1331662633cb
14185567b7c1
15cd53a17c8
hex7b113485d

33035602013 has 2 divisors, whose sum is σ = 33035602014. Its totient is φ = 33035602012.

The previous prime is 33035602007. The next prime is 33035602027. The reversal of 33035602013 is 31020653033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30985504729 + 2050097284 = 176027^2 + 45278^2 .

It is a cyclic number.

It is not a de Polignac number, because 33035602013 - 222 = 33031407709 is a prime.

It is a super-2 number, since 2×330356020132 (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 (33035502013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16517801006 + 16517801007.

It is an arithmetic number, because the mean of its divisors is an integer number (16517801007).

Almost surely, 233035602013 is an apocalyptic number.

It is an amenable number.

33035602013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33035602013 is an equidigital number, since it uses as much as digits as its factorization.

33035602013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 26.

The spelling of 33035602013 in words is "thirty-three billion, thirty-five million, six hundred two thousand, thirteen".