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33366144013 is a prime number
BaseRepresentation
bin11111000100110001…
…101111010000001101
310012010100021201212121
4133010301233100031
51021313213102023
623154520132541
72260562354536
oct370461572015
9105110251777
1033366144013
1113172355934
126572307151
1331b9895aa7
14188752168d
15d043e4d5d
hex7c4c6f40d

33366144013 has 2 divisors, whose sum is σ = 33366144014. Its totient is φ = 33366144012.

The previous prime is 33366143989. The next prime is 33366144041. The reversal of 33366144013 is 31044166333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22760851689 + 10605292324 = 150867^2 + 102982^2 .

It is an emirp because it is prime and its reverse (31044166333) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33366144013 - 225 = 33332589581 is a prime.

It is a super-2 number, since 2×333661440132 (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 33366144013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33366144083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16683072006 + 16683072007.

It is an arithmetic number, because the mean of its divisors is an integer number (16683072007).

Almost surely, 233366144013 is an apocalyptic number.

It is an amenable number.

33366144013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33366144013 is an equidigital number, since it uses as much as digits as its factorization.

33366144013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 34.

The spelling of 33366144013 in words is "thirty-three billion, three hundred sixty-six million, one hundred forty-four thousand, thirteen".