Search a number
-
+
211022131212312 = 233737122512771057
BaseRepresentation
bin101111111110110001101011…
…001010111011000000011000
31000200011112000011001210210220
4233332301223022323000120
5210124341311042243222
62024450121225440040
762306563062640050
oct5776615312730030
91020145004053726
10211022131212312
1161268a8a808672
121b801604940020
1390993bc786424
143a17750534560
15195e283644b5c
hexbfec6b2bb018

211022131212312 has 128 divisors (see below), whose sum is σ = 619266287715840. Its totient is φ = 58657713408000.

The previous prime is 211022131212271. The next prime is 211022131212337. The reversal of 211022131212312 is 213212131220112.

It is a super-2 number, since 2×2110221312123122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 74766688 + ... + 77537744.

It is an arithmetic number, because the mean of its divisors is an integer number (4838017872780).

Almost surely, 2211022131212312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211022131212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309633143857920).

211022131212312 is an abundant number, since it is smaller than the sum of its proper divisors (408244156503528).

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

211022131212312 is a wasteful number, since it uses less digits than its factorization.

211022131212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783361 (or 2783357 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 211022131212312 its reverse (213212131220112), we get a palindrome (424234262432424).

The spelling of 211022131212312 in words is "two hundred eleven trillion, twenty-two billion, one hundred thirty-one million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 6216 12251 24502 36753 49004 73506 85757 98008 147012 171514 257271 294024 343028 453287 514542 686056 906574 1029084 1359861 1813148 2058168 2719722 2771057 3173009 3626296 5439444 5542114 6346018 8313171 9519027 10878888 11084228 12692036 16626342 19038054 19397399 22168456 25384072 33252684 38076108 38794798 58192197 66505368 76152216 77589596 102529109 116384394 155179192 205058218 232768788 307587327 410116436 465537576 615174654 717703763 820232872 1230349308 1435407526 2153111289 2460698616 2870815052 4306222578 5741630104 8612445156 17224890312 33948219307 67896438614 101844657921 135792877228 203689315842 237637535149 271585754456 407378631684 475275070298 712912605447 814757263368 950550140596 1256084114359 1425825210894 1901100281192 2512168228718 2851650421788 3768252343077 5024336457436 5703300843576 7536504686154 8792588800513 10048672914872 15073009372308 17585177601026 26377766401539 30146018744616 35170355202052 52755532803078 70340710404104 105511065606156 211022131212312