Search a number
-
+
212313413 = 1310121601
BaseRepresentation
bin11001010011110…
…10010101000101
3112210111122020202
430221322111011
5413323012123
633022340245
75155430354
oct1451722505
9483448222
10212313413
11a9933234
125b12a685
1334ca8b50
14202a999b
151398ca28
hexca7a545

212313413 has 12 divisors (see below), whose sum is σ = 231075684. Its totient is φ = 193920000.

The previous prime is 212313383. The next prime is 212313433. The reversal of 212313413 is 314313212.

212313413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 100440484 + 111872929 = 10022^2 + 10577^2 .

It is not a de Polignac number, because 212313413 - 26 = 212313349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212313433) 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, 131813 + ... + 133413.

It is an arithmetic number, because the mean of its divisors is an integer number (19256307).

Almost surely, 2212313413 is an apocalyptic number.

It is an amenable number.

212313413 is a deficient number, since it is larger than the sum of its proper divisors (18762271).

212313413 is a wasteful number, since it uses less digits than its factorization.

212313413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1715 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 212313413 is about 14570.9784503306. The cubic root of 212313413 is about 596.5668872124.

Adding to 212313413 its reverse (314313212), we get a palindrome (526626625).

The spelling of 212313413 in words is "two hundred twelve million, three hundred thirteen thousand, four hundred thirteen".

Divisors: 1 13 101 1313 1601 10201 20813 132613 161701 2102113 16331801 212313413