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201111121112 = 231119433277787
BaseRepresentation
bin1011101101001100101…
…0000010110011011000
3201020002210001111010012
42323103022002303120
511243333421333422
6232220021141052
720346502216106
oct2732312026330
9636083044105
10201111121112
1178321a91a10
1232b8785a788
1315c70594aa5
149a3b8b6c76
155370ca54e2
hex2ed3282cd8

201111121112 has 64 divisors (see below), whose sum is σ = 434015971200. Its totient is φ = 86402557440.

The previous prime is 201111121109. The next prime is 201111121121. The reversal of 201111121112 is 211121111102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585083 + ... + 862869.

It is an arithmetic number, because the mean of its divisors is an integer number (6781499550).

Almost surely, 2201111121112 is an apocalyptic number.

201111121112 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 201111121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217007985600).

201111121112 is an abundant number, since it is smaller than the sum of its proper divisors (232904850088).

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

201111121112 is a wasteful number, since it uses less digits than its factorization.

201111121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278256 (or 278252 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 201111121112 its reverse (211121111102), we get a palindrome (412232232214).

It can be divided in two parts, 201111 and 121112, that added together give a palindrome (322223).

The spelling of 201111121112 in words is "two hundred one billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 433 836 866 1672 1732 3464 4763 8227 9526 16454 19052 32908 38104 65816 90497 180994 277787 361988 555574 723976 1111148 2222296 3055657 5277953 6111314 10555906 12222628 21111812 24445256 42223624 58057483 116114966 120281771 232229932 240563542 464459864 481127084 962254168 1323099481 2285353649 2646198962 4570707298 5292397924 9141414596 10584795848 18282829192 25138890139 50277780278 100555560556 201111121112