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33120111317 is a prime number
BaseRepresentation
bin11110110110000111…
…001100101011010101
310011111012022222110112
4132312013030223111
51020312222030232
623114250532405
72251514205206
oct366607145325
9104435288415
1033120111317
1113056491927
126503a37105
13317a912107
1418629995ad
15cdc9e64b2
hex7b61ccad5

33120111317 has 2 divisors, whose sum is σ = 33120111318. Its totient is φ = 33120111316.

The previous prime is 33120111289. The next prime is 33120111319. The reversal of 33120111317 is 71311102133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30596656561 + 2523454756 = 174919^2 + 50234^2 .

It is an emirp because it is prime and its reverse (71311102133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33120111317 - 26 = 33120111253 is a prime.

Together with 33120111319, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 33120111292 and 33120111301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33120111319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16560055658 + 16560055659.

It is an arithmetic number, because the mean of its divisors is an integer number (16560055659).

Almost surely, 233120111317 is an apocalyptic number.

It is an amenable number.

33120111317 is a deficient number, since it is larger than the sum of its proper divisors (1).

33120111317 is an equidigital number, since it uses as much as digits as its factorization.

33120111317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 23.

The spelling of 33120111317 in words is "thirty-three billion, one hundred twenty million, one hundred eleven thousand, three hundred seventeen".