Search a number
-
+
133828993 is a prime number
BaseRepresentation
bin1111111101000…
…01000110000001
3100022211012212101
413332201012001
5233230011433
621140230401
73213345664
oct776410601
9308735771
10133828993
11695a7781
123899b401
132195956c
1413ab96db
15bb3807d
hex7fa1181

133828993 has 2 divisors, whose sum is σ = 133828994. Its totient is φ = 133828992.

The previous prime is 133828991. The next prime is 133828999. The reversal of 133828993 is 399828331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111767184 + 22061809 = 10572^2 + 4697^2 .

It is a cyclic number.

It is not a de Polignac number, because 133828993 - 21 = 133828991 is a prime.

Together with 133828991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (133828991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66914496 + 66914497.

It is an arithmetic number, because the mean of its divisors is an integer number (66914497).

Almost surely, 2133828993 is an apocalyptic number.

It is an amenable number.

133828993 is a deficient number, since it is larger than the sum of its proper divisors (1).

133828993 is an equidigital number, since it uses as much as digits as its factorization.

133828993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 279936, while the sum is 46.

The square root of 133828993 is about 11568.4481673213. The cubic root of 133828993 is about 511.5052199008.

The spelling of 133828993 in words is "one hundred thirty-three million, eight hundred twenty-eight thousand, nine hundred ninety-three".