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33300311381 is a prime number
BaseRepresentation
bin11111000000110110…
…100110110101010101
310011221202102002110222
4133000312212311111
51021144334431011
623144205124125
72256132655631
oct370066466525
9104852362428
1033300311381
11131391808a7
126554259645
1331a905607c
14187c8a5dc1
15ced73dddb
hex7c0da6d55

33300311381 has 2 divisors, whose sum is σ = 33300311382. Its totient is φ = 33300311380.

The previous prime is 33300311327. The next prime is 33300311419. The reversal of 33300311381 is 18311300333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17538764356 + 15761547025 = 132434^2 + 125545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33300311381 is a prime.

It is a super-2 number, since 2×333003113812 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33300311381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33300313381) 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, 16650155690 + 16650155691.

It is an arithmetic number, because the mean of its divisors is an integer number (16650155691).

Almost surely, 233300311381 is an apocalyptic number.

It is an amenable number.

33300311381 is a deficient number, since it is larger than the sum of its proper divisors (1).

33300311381 is an equidigital number, since it uses as much as digits as its factorization.

33300311381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 33300311381 in words is "thirty-three billion, three hundred million, three hundred eleven thousand, three hundred eighty-one".