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34012213133 is a prime number
BaseRepresentation
bin11111101011010010…
…010010111110001101
310020210100222110002112
4133223102102332031
51024124111310013
623342555433405
72312566020143
oct375322227615
9106710873075
1034012213133
111347400a158
126712755865
1332906a1802
14190925b593
15d40eb2ba8
hex7eb492f8d

34012213133 has 2 divisors, whose sum is σ = 34012213134. Its totient is φ = 34012213132.

The previous prime is 34012213129. The next prime is 34012213243. The reversal of 34012213133 is 33131221043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27955171204 + 6057041929 = 167198^2 + 77827^2 .

It is a cyclic number.

It is not a de Polignac number, because 34012213133 - 22 = 34012213129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34012213099 and 34012213108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34012213733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17006106566 + 17006106567.

It is an arithmetic number, because the mean of its divisors is an integer number (17006106567).

Almost surely, 234012213133 is an apocalyptic number.

It is an amenable number.

34012213133 is a deficient number, since it is larger than the sum of its proper divisors (1).

34012213133 is an equidigital number, since it uses as much as digits as its factorization.

34012213133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 34012213133 its reverse (33131221043), we get a palindrome (67143434176).

The spelling of 34012213133 in words is "thirty-four billion, twelve million, two hundred thirteen thousand, one hundred thirty-three".