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33044014332137 is a prime number
BaseRepresentation
bin1111000001101101010001…
…01111000111100011101001
311022222222101011200202212202
413200312220233013203221
513312343120132112022
6154140113254345545
76650231323322324
oct740665057074351
9138888334622782
1033044014332137
11a58a9846a8a36
12385819965b2b5
1315590638c0763
148234a5a557bb
153c483d65b592
hex1e0da8bc78e9

33044014332137 has 2 divisors, whose sum is σ = 33044014332138. Its totient is φ = 33044014332136.

The previous prime is 33044014332113. The next prime is 33044014332139. The reversal of 33044014332137 is 73123341044033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32939002041001 + 105012291136 = 5739251^2 + 324056^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33044014332137 is a prime.

Together with 33044014332139, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33044014332137.

It is not a weakly prime, because it can be changed into another prime (33044014332139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16522007166068 + 16522007166069.

It is an arithmetic number, because the mean of its divisors is an integer number (16522007166069).

Almost surely, 233044014332137 is an apocalyptic number.

It is an amenable number.

33044014332137 is a deficient number, since it is larger than the sum of its proper divisors (1).

33044014332137 is an equidigital number, since it uses as much as digits as its factorization.

33044014332137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 217728, while the sum is 38.

The spelling of 33044014332137 in words is "thirty-three trillion, forty-four billion, fourteen million, three hundred thirty-two thousand, one hundred thirty-seven".