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10133 is a prime number
BaseRepresentation
bin10011110010101
3111220022
42132111
5311013
6114525
741354
oct23625
914808
1010133
117682
125a45
1347c6
14399b
153008
hex2795

10133 has 2 divisors, whose sum is σ = 10134. Its totient is φ = 10132.

The previous prime is 10111. The next prime is 10139. The reversal of 10133 is 33101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 529 = 98^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133 - 26 = 10069 is a prime.

It is a Chen prime.

It is a plaindrome in base 14.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 10133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10139) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066 + 5067.

It is an arithmetic number, because the mean of its divisors is an integer number (5067).

210133 is an apocalyptic number.

It is an amenable number.

10133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133 is an equidigital number, since it uses as much as digits as its factorization.

10133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 10133 is about 100.6628034579. The cubic root of 10133 is about 21.6394398307.

Adding to 10133 its reverse (33101), we get a palindrome (43234).

It can be divided in two parts, 101 and 33, that multiplied together give a palindrome (3333).

The spelling of 10133 in words is "ten thousand, one hundred thirty-three".