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212313101 = 711131131877
BaseRepresentation
bin11001010011110…
…10010000001101
3112210111121211012
430221322100031
5413323004401
633022335005
75155426430
oct1451722015
9483447735
10212313101
11a9932a80
125b12a465
1334ca8970
14202a9817
151398c8bb
hexca7a40d

212313101 has 32 divisors (see below), whose sum is σ = 287739648. Its totient is φ = 151280640.

The previous prime is 212313083. The next prime is 212313107. The reversal of 212313101 is 101313212.

It is not a de Polignac number, because 212313101 - 26 = 212313037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212313107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112175 + ... + 114051.

It is an arithmetic number, because the mean of its divisors is an integer number (8991864).

Almost surely, 2212313101 is an apocalyptic number.

It is an amenable number.

212313101 is a deficient number, since it is larger than the sum of its proper divisors (75426547).

212313101 is a wasteful number, since it uses less digits than its factorization.

212313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 212313101 is about 14570.9677441136. The cubic root of 212313101 is about 596.5665949889.

Adding to 212313101 its reverse (101313212), we get a palindrome (313626313).

It can be divided in two parts, 212 and 313101, that added together give a palindrome (313313).

The spelling of 212313101 in words is "two hundred twelve million, three hundred thirteen thousand, one hundred one".

Divisors: 1 7 11 13 77 91 113 143 791 1001 1243 1469 1877 8701 10283 13139 16159 20647 24401 113113 144529 170807 212101 268411 1484707 1878877 2333111 2757313 16331777 19301191 30330443 212313101