Search a number
-
+
133111333 = 61283431
BaseRepresentation
bin1111110111100…
…01111000100101
3100021110202102101
413323301320211
5233034030313
621113012101
73204266455
oct773617045
9307422371
10133111333
1169157573
12386b4031
1321767a04
141396dd65
15ba455dd
hex7ef1e25

133111333 has 12 divisors (see below), whose sum is σ = 137277504. Its totient is φ = 129051600.

The previous prime is 133111331. The next prime is 133111369. The reversal of 133111333 is 333111331.

It is a happy number.

It is not a de Polignac number, because 133111333 - 21 = 133111331 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133111333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133111331) 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 in 11 ways as a sum of consecutive naturals, for example, 308628 + ... + 309058.

It is an arithmetic number, because the mean of its divisors is an integer number (11439792).

Almost surely, 2133111333 is an apocalyptic number.

It is an amenable number.

133111333 is a deficient number, since it is larger than the sum of its proper divisors (4166171).

133111333 is an frugal number, since it uses more digits than its factorization.

133111333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 575 counting only the distinct ones).

The product of its digits is 243, while the sum is 19.

The square root of 133111333 is about 11537.3884826680. The cubic root of 133111333 is about 510.5892625055.

Adding to 133111333 its reverse (333111331), we get a palindrome (466222664).

The spelling of 133111333 in words is "one hundred thirty-three million, one hundred eleven thousand, three hundred thirty-three".

Divisors: 1 61 83 431 3721 5063 26291 35773 308843 1603751 2182153 133111333