Search a number
-
+
212004133 = 11233127031
BaseRepresentation
bin11001010001011…
…10110100100101
3112202220220222221
430220232310211
5413233113013
633011552341
75153001565
oct1450566445
9482826887
10212004133
11a9741930
125abbb6b1
1334bcb143
1420228da5
151392b08d
hexca2ed25

212004133 has 16 divisors (see below), whose sum is σ = 249126912. Its totient is φ = 178398000.

The previous prime is 212004101. The next prime is 212004139. The reversal of 212004133 is 331400212.

It is a happy number.

212004133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212004133 - 25 = 212004101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212004139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5673 + ... + 21358.

It is an arithmetic number, because the mean of its divisors is an integer number (15570432).

Almost surely, 2212004133 is an apocalyptic number.

212004133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

212004133 is a deficient number, since it is larger than the sum of its proper divisors (37122779).

212004133 is a wasteful number, since it uses less digits than its factorization.

212004133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27096.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 212004133 is about 14560.3617056720. The cubic root of 212004133 is about 596.2770705874.

Adding to 212004133 its reverse (331400212), we get a palindrome (543404345).

The spelling of 212004133 in words is "two hundred twelve million, four thousand, one hundred thirty-three".

Divisors: 1 11 23 31 253 341 713 7843 27031 297341 621713 837961 6838843 9217571 19273103 212004133