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211022100212 = 227116120995351
BaseRepresentation
bin1100010010000111100…
…1011011011011110100
3202011200111022101112012
43010201321123123310
511424133124201322
6240535303543352
721150216153650
oct3044171333364
9664614271465
10211022100212
1181548524230
1234a92a5ab58
1316b8c9b3b71
14a2dbca5a60
155750e2bae2
hex3121e5b6f4

211022100212 has 96 divisors (see below), whose sum is σ = 468270028800. Its totient is φ = 80814960000.

The previous prime is 211022100209. The next prime is 211022100221. The reversal of 211022100212 is 212001220112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39433337 + ... + 39438687.

It is an arithmetic number, because the mean of its divisors is an integer number (4877812800).

Almost surely, 2211022100212 is an apocalyptic number.

211022100212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211022100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234135014400).

211022100212 is an abundant number, since it is smaller than the sum of its proper divisors (257247928588).

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

211022100212 is a wasteful number, since it uses less digits than its factorization.

211022100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7533 (or 7531 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211022100212 its reverse (212001220112), we get a palindrome (423023320324).

The spelling of 211022100212 in words is "two hundred eleven billion, twenty-two million, one hundred thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 61 77 122 154 244 308 427 671 854 1342 1708 2099 2684 4198 4697 5351 8396 9394 10702 14693 18788 21404 23089 29386 37457 46178 58772 58861 74914 92356 117722 128039 149828 161623 235444 256078 323246 326411 412027 512156 646492 652822 824054 896273 1305644 1408429 1648108 1792546 2284877 2816858 3585092 3590521 4569754 5633716 7181042 9139508 9859003 11231749 14362084 19718006 22463498 25133647 39436012 44926996 50267294 78622243 100534588 123549239 157244486 247098478 314488972 494196956 685136689 864844673 1370273378 1729689346 2740546756 3459378692 4795956823 7536503579 9591913646 15073007158 19183827292 30146014316 52755525053 105511050106 211022100212