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2111211012222 = 23213113772710333
BaseRepresentation
bin11110101110001101111…
…110111000000001111110
321110211101220222121210200
4132232031332320001332
5234042230004342342
64253513230544330
7305346530340264
oct36561576700176
97424356877720
102111211012222
117443a5639344
122a12003680a6
1312411790cc50
147427c82c434
1539db658894c
hex1eb8dfb807e

2111211012222 has 96 divisors (see below), whose sum is σ = 4970877545088. Its totient is φ = 643709058048.

The previous prime is 2111211012217. The next prime is 2111211012223. The reversal of 2111211012222 is 2222101121112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2111211012195 and 2111211012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111211012223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204312168 + ... + 204322500.

It is an arithmetic number, because the mean of its divisors is an integer number (51779974428).

Almost surely, 22111211012222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111211012222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485438772544).

2111211012222 is an abundant number, since it is smaller than the sum of its proper divisors (2859666532866).

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

2111211012222 is a wasteful number, since it uses less digits than its factorization.

2111211012222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18194 (or 18191 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2111211012222 its reverse (2222101121112), we get a palindrome (4333312133334).

The spelling of 2111211012222 in words is "two trillion, one hundred eleven billion, two hundred eleven million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 678 1017 1469 2034 2938 4407 7727 8814 10333 13221 15454 20666 23181 26442 30999 46362 61998 69543 92997 100451 134329 139086 185994 200902 268658 301353 402987 602706 805974 873151 904059 1167629 1208961 1746302 1808118 2335258 2417922 2619453 3502887 5238906 7005774 7858359 10508661 11350963 15179177 15716718 21017322 22701926 30358354 34052889 45537531 68105778 79843091 91075062 102158667 136612593 159686182 204317334 239529273 273225186 479058546 718587819 1037960183 1437175638 2075920366 3113880549 6227761098 9022269283 9341641647 18044538566 18683283294 27066807849 54133615698 81200423547 117289500679 162400847094 234579001358 351868502037 703737004074 1055605506111 2111211012222