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212124213 = 3274497499
BaseRepresentation
bin11001010010011…
…00001000110101
3112210011000201100
430221030020311
5413300433323
633014320313
75154011640
oct1451141065
9483130640
10212124213
11a9814074
125b059099
1334c409b2
142025aa57
1513951943
hexca4c235

212124213 has 24 divisors (see below), whose sum is σ = 351000000. Its totient is φ = 120927744.

The previous prime is 212124191. The next prime is 212124229. The reversal of 212124213 is 312421212.

It is a happy number.

It is not a de Polignac number, because 212124213 - 26 = 212124149 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212124713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24538 + ... + 32036.

It is an arithmetic number, because the mean of its divisors is an integer number (14625000).

Almost surely, 2212124213 is an apocalyptic number.

It is an amenable number.

212124213 is a deficient number, since it is larger than the sum of its proper divisors (138875787).

212124213 is a wasteful number, since it uses less digits than its factorization.

212124213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7961 (or 7958 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 212124213 is about 14564.4846458775. The cubic root of 212124213 is about 596.3896272556.

Adding to 212124213 its reverse (312421212), we get a palindrome (524545425).

It can be divided in two parts, 21212 and 4213, that added together give a triangular number (25425 = T225).

The spelling of 212124213 in words is "two hundred twelve million, one hundred twenty-four thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 63 449 1347 3143 4041 7499 9429 22497 28287 52493 67491 157479 472437 3367051 10101153 23569357 30303459 70708071 212124213