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2212312311 = 33117448863
BaseRepresentation
bin1000001111011101…
…0011010011110111
312201011212002222000
42003313103103313
514012322443221
61003305310343
7105552226056
oct20367232367
95634762860
102212312311
11a35879a90
12518a953b3
13293452851
1416db6439d
15ce34ee26
hex83dd34f7

2212312311 has 16 divisors (see below), whose sum is σ = 3575454720. Its totient is φ = 1340795160.

The previous prime is 2212312301. The next prime is 2212312327. The reversal of 2212312311 is 1132132122.

It is not a de Polignac number, because 2212312311 - 29 = 2212311799 is a prime.

It is a super-3 number, since 3×22123123113 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212312301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3724135 + ... + 3724728.

It is an arithmetic number, because the mean of its divisors is an integer number (223465920).

Almost surely, 22212312311 is an apocalyptic number.

2212312311 is a deficient number, since it is larger than the sum of its proper divisors (1363142409).

2212312311 is a wasteful number, since it uses less digits than its factorization.

2212312311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7448883 (or 7448877 counting only the distinct ones).

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

The square root of 2212312311 is about 47035.2241516930. The cubic root of 2212312311 is about 1303.0131901998.

Adding to 2212312311 its reverse (1132132122), we get a palindrome (3344444433).

The spelling of 2212312311 in words is "two billion, two hundred twelve million, three hundred twelve thousand, three hundred eleven".

Divisors: 1 3 9 11 27 33 99 297 7448863 22346589 67039767 81937493 201119301 245812479 737437437 2212312311