Search a number
-
+
133100 = 2252113
BaseRepresentation
bin100000011111101100
320202120122
4200133230
513224400
62504112
71063022
oct403754
9222518
10133100
1191000
1265038
1348776
1436712
1529685
hex207ec

133100 has 36 divisors (see below), whose sum is σ = 317688. Its totient is φ = 48400.

The previous prime is 133097. The next prime is 133103. The reversal of 133100 is 1331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

133100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (133097) and next prime (133103).

It is a super-2 number, since 2×1331002 = 35431220000, which contains 22 as substring.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (133103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12095 + ... + 12105.

2133100 is an apocalyptic number.

133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158844).

133100 is an abundant number, since it is smaller than the sum of its proper divisors (184588).

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

133100 is a wasteful number, since it uses less digits than its factorization.

133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 18 counting only the distinct ones).

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

The square root of 133100 is about 364.8287269391. The cubic root of 133100 is about 51.0574771697.

Adding to 133100 its reverse (1331), we get a palindrome (134431).

Subtracting from 133100 its reverse (1331), we obtain a square (131769 = 3632).

Multiplying 133100 by its reverse (1331), we get a square (177156100 = 133102).

133100 divided by its reverse (1331) gives a square (100 = 102).

It can be divided in two parts, 13 and 3100, that added together give a palindrome (3113).

The spelling of 133100 in words is "one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1331 2420 2662 3025 5324 6050 6655 12100 13310 26620 33275 66550 133100