Search a number
-
+
133133058 = 234821809
BaseRepresentation
bin1111110111101…
…11001100000010
3100021111212020000
413323313030002
5233040224213
621113300430
73204420012
oct773671402
9307455200
10133133058
1169171923
1238704716
1321774876
1413977c42
15ba4bc73
hex7ef7302

133133058 has 20 divisors (see below), whose sum is σ = 298317030. Its totient is φ = 44377632.

The previous prime is 133133051. The next prime is 133133059. The reversal of 133133058 is 850331331.

It can be written as a sum of positive squares in only one way, i.e., 78269409 + 54863649 = 8847^2 + 7407^2 .

It is a super-3 number, since 3×1331330583 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133133051) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 410743 + ... + 411066.

Almost surely, 2133133058 is an apocalyptic number.

133133058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

133133058 is an abundant number, since it is smaller than the sum of its proper divisors (165183972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133133058 is an equidigital number, since it uses as much as digits as its factorization.

133133058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821823 (or 821814 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 133133058 is about 11538.3299484804. The cubic root of 133133058 is about 510.6170386236.

Adding to 133133058 its reverse (850331331), we get a palindrome (983464389).

The spelling of 133133058 in words is "one hundred thirty-three million, one hundred thirty-three thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 821809 1643618 2465427 4930854 7396281 14792562 22188843 44377686 66566529 133133058