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10133033213 is a prime number
BaseRepresentation
bin10010110111111100…
…11101000011111101
3222011012002102101102
421123332131003331
5131223024030323
64353254022445
7506051234612
oct113376350375
928135072342
1010133033213
11432a918916
121b69647a25
13c56428754
146c1ab2509
153e48da328
hex25bf9d0fd

10133033213 has 2 divisors, whose sum is σ = 10133033214. Its totient is φ = 10133033212.

The previous prime is 10133033177. The next prime is 10133033227. The reversal of 10133033213 is 31233033101.

10133033213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5918686489 + 4214346724 = 76933^2 + 64918^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133033213 - 26 = 10133033149 is a prime.

It is a super-2 number, since 2×101330332132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10133033233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066516606 + 5066516607.

It is an arithmetic number, because the mean of its divisors is an integer number (5066516607).

Almost surely, 210133033213 is an apocalyptic number.

It is an amenable number.

10133033213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133033213 is an equidigital number, since it uses as much as digits as its factorization.

10133033213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 10133033213 its reverse (31233033101), we get a palindrome (41366066314).

The spelling of 10133033213 in words is "ten billion, one hundred thirty-three million, thirty-three thousand, two hundred thirteen".