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34304412133 is a prime number
BaseRepresentation
bin11111111100101100…
…111100100111100101
310021112201210200202201
4133330230330213211
51030223412142013
623431554334501
72323044456235
oct377454744745
9107481720681
1034304412133
1113603a45632
12679458a431
13330909a924
141935d9dcc5
15d5b9803dd
hex7fcb3c9e5

34304412133 has 2 divisors, whose sum is σ = 34304412134. Its totient is φ = 34304412132.

The previous prime is 34304412059. The next prime is 34304412151. The reversal of 34304412133 is 33121440343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20685055329 + 13619356804 = 143823^2 + 116702^2 .

It is an emirp because it is prime and its reverse (33121440343) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34304412133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34304412433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17152206066 + 17152206067.

It is an arithmetic number, because the mean of its divisors is an integer number (17152206067).

Almost surely, 234304412133 is an apocalyptic number.

It is an amenable number.

34304412133 is a deficient number, since it is larger than the sum of its proper divisors (1).

34304412133 is an equidigital number, since it uses as much as digits as its factorization.

34304412133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 34304412133 its reverse (33121440343), we get a palindrome (67425852476).

The spelling of 34304412133 in words is "thirty-four billion, three hundred four million, four hundred twelve thousand, one hundred thirty-three".