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212341311 = 3371386423
BaseRepresentation
bin11001010100000…
…01001000111111
3112210120001112000
430222001020333
5413324410221
633023113343
75155604610
oct1452011077
9483501460
10212341311
11a9952196
125b142853
1334cb8760
14202b5c07
1513995e26
hexca8123f

212341311 has 32 divisors (see below), whose sum is σ = 387179520. Its totient is φ = 112002912.

The previous prime is 212341301. The next prime is 212341319. The reversal of 212341311 is 113143212.

212341311 is a `hidden beast` number, since 2 + 12 + 341 + 311 = 666.

It is not a de Polignac number, because 212341311 - 25 = 212341279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212341319) 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, 40755 + ... + 45668.

It is an arithmetic number, because the mean of its divisors is an integer number (12099360).

Almost surely, 2212341311 is an apocalyptic number.

212341311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212341311 is a deficient number, since it is larger than the sum of its proper divisors (174838209).

212341311 is a wasteful number, since it uses less digits than its factorization.

212341311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86452 (or 86446 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 212341311 is about 14571.9357327707. The cubic root of 212341311 is about 596.5930157141.

Adding to 212341311 its reverse (113143212), we get a palindrome (325484523).

It can be divided in two parts, 2123 and 41311, that added together give a palindrome (43434).

The spelling of 212341311 in words is "two hundred twelve million, three hundred forty-one thousand, three hundred eleven".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 86423 259269 604961 777807 1123499 1814883 2333421 3370497 5444649 7864493 10111491 16333947 23593479 30334473 70780437 212341311