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211221012 = 22337412283
BaseRepresentation
bin11001001011011…
…11101000010100
3112201110010202110
430211233220110
5413033033022
632543111020
75143230462
oct1445575024
9481403673
10211221012
11a9257522
125a8a2470
13349b5862
14200a3832
151382400c
hexc96fa14

211221012 has 72 divisors (see below), whose sum is σ = 520649248. Its totient is φ = 66597120.

The previous prime is 211220993. The next prime is 211221013. The reversal of 211221012 is 210122112.

211221012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112210122 = 89228631820608288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221013) 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, 746223 + ... + 746505.

Almost surely, 2211221012 is an apocalyptic number.

It is an amenable number.

211221012 is an abundant number, since it is smaller than the sum of its proper divisors (309428236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211221012 is a wasteful number, since it uses less digits than its factorization.

211221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 211221012 is about 14533.4446020205. Note that the first 3 decimals coincide. The cubic root of 211221012 is about 595.5419697579.

Adding to 211221012 its reverse (210122112), we get a palindrome (421343124).

It can be divided in two parts, 2112 and 21012, that multiplied together give a palindrome (44377344).

The spelling of 211221012 in words is "two hundred eleven million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 37 41 74 82 111 123 148 164 222 246 283 444 492 566 849 1132 1517 1681 1698 3034 3362 3396 4551 5043 6068 6724 9102 10086 10471 11603 18204 20172 20942 23206 31413 34809 41884 46412 62197 62826 69618 124394 125652 139236 186591 248788 373182 429311 475723 746364 858622 951446 1287933 1427169 1717244 1902892 2575866 2854338 5151732 5708676 17601751 35203502 52805253 70407004 105610506 211221012