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211322210414 = 2741675494883
BaseRepresentation
bin1100010011001111001…
…0010000100001101110
3202012110102000120022212
43010303302100201232
511430241441213124
6241025144210422
721160522102550
oct3046362204156
9665412016285
10211322210414
1181691973497
1234b57469a12
1316c09c1cb73
14a329aa74d0
15576c45d40e
hex3133c9086e

211322210414 has 32 divisors (see below), whose sum is σ = 376641328896. Its totient is φ = 87038930880.

The previous prime is 211322210383. The next prime is 211322210459. The reversal of 211322210414 is 414012223112.

It is a super-3 number, since 3×2113222104143 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 211322210414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2708984 + ... + 2785899.

It is an arithmetic number, because the mean of its divisors is an integer number (11770041528).

Almost surely, 2211322210414 is an apocalyptic number.

211322210414 is a deficient number, since it is larger than the sum of its proper divisors (165319118482).

211322210414 is a wasteful number, since it uses less digits than its factorization.

211322210414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495000.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 211322210414 its reverse (414012223112), we get a palindrome (625334433526).

The spelling of 211322210414 in words is "two hundred eleven billion, three hundred twenty-two million, two hundred ten thousand, four hundred fourteen".

Divisors: 1 2 7 14 41 67 82 134 287 469 574 938 2747 5494 19229 38458 5494883 10989766 38464181 76928362 225290203 368157161 450580406 736314322 1577031421 2577100127 3154062842 5154200254 15094443601 30188887202 105661105207 211322210414