Search a number
-
+
10033332131 is a prime number
BaseRepresentation
bin10010101100000100…
…00111111110100011
3221220020111002012202
421112002013332203
5131022013112011
64335333043415
7503430626114
oct112602077643
927806432182
1010033332131
114289610a29
121b4018656b
13c3b88b024
146b275c20b
153dac9423b
hex256087fa3

10033332131 has 2 divisors, whose sum is σ = 10033332132. Its totient is φ = 10033332130.

The previous prime is 10033332121. The next prime is 10033332139. The reversal of 10033332131 is 13123333001.

10033332131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10033332131 is a prime.

It is a super-2 number, since 2×100333321312 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10033332139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016666065 + 5016666066.

It is an arithmetic number, because the mean of its divisors is an integer number (5016666066).

Almost surely, 210033332131 is an apocalyptic number.

10033332131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033332131 is an equidigital number, since it uses as much as digits as its factorization.

10033332131 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10033332131 its reverse (13123333001), we get a palindrome (23156665132).

The spelling of 10033332131 in words is "ten billion, thirty-three million, three hundred thirty-two thousand, one hundred thirty-one".