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201211101112 = 23723415996361
BaseRepresentation
bin1011101101100100011…
…1011011111110111000
3201020100202011222220011
42323121013123332320
511244040020213422
6232233552111304
720352125066020
oct2733107337670
9636322158804
10201211101112
117837346a40a
1232bb5235534
1315c881cc458
149a4aca0a80
155379954077
hex2ed91dbfb8

201211101112 has 128 divisors (see below), whose sum is σ = 461728512000. Its totient is φ = 80325273600.

The previous prime is 201211101109. The next prime is 201211101127. The reversal of 201211101112 is 211101112102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201211101092 and 201211101101.

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, 31628812 + ... + 31635172.

It is an arithmetic number, because the mean of its divisors is an integer number (3607254000).

Almost surely, 2201211101112 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 201211101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230864256000).

201211101112 is an abundant number, since it is smaller than the sum of its proper divisors (260517410888).

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

201211101112 is a wasteful number, since it uses less digits than its factorization.

201211101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7037 (or 7033 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 201211101112 its reverse (211101112102), we get a palindrome (412312213214).

The spelling of 201211101112 in words is "two hundred one billion, two hundred eleven million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 41 46 56 82 92 161 164 184 287 322 328 574 599 644 943 1148 1198 1288 1886 2296 2396 3772 4193 4792 6361 6601 7544 8386 12722 13202 13777 16772 24559 25444 26404 27554 33544 44527 49118 50888 52808 55108 89054 96439 98236 110216 146303 171913 178108 192878 196472 260801 292606 343826 356216 385756 521602 564857 585212 687652 771512 1024121 1043204 1129714 1170424 1375304 1825607 2048242 2086408 2259428 3651214 3810239 3953999 4096484 4518856 5998423 7302428 7620478 7907998 8192968 11996846 14604856 15240956 15815996 23993692 26671673 30481912 31631992 41988961 47987384 53343346 83977922 87635497 106686692 156219799 167955844 175270994 213373384 312439598 335911688 350541988 613448479 624879196 701083976 1093538593 1226896958 1249758392 2187077186 2453793916 3593055377 4374154372 4907587832 7186110754 8748308744 14372221508 25151387639 28744443016 50302775278 100605550556 201211101112