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201120012210112 = 2617673581347251
BaseRepresentation
bin101101101110101011100110…
…111000101000111111000000
3222101002212220110012102200021
4231232223212320220333000
5202330122241111210422
61551425131430103224
760235304251112122
oct5556534670507700
9871085813172607
10201120012210112
11590a0577782a66
121a6824a51aab14
13882b6c71285a8
143794390c71212
15183b8d68bddc7
hexb6eae6e28fc0

201120012210112 has 112 divisors (see below), whose sum is σ = 423283505589792. Its totient is φ = 94485823488000.

The previous prime is 201120012210097. The next prime is 201120012210119. The reversal of 201120012210112 is 211012210021102.

It is a super-2 number, since 2×2011200122101122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201120012210119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4256394487 + ... + 4256441737.

Almost surely, 2201120012210112 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 201120012210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211641752794896).

201120012210112 is an abundant number, since it is smaller than the sum of its proper divisors (222163493379680).

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

201120012210112 is a wasteful number, since it uses less digits than its factorization.

201120012210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53766 (or 53756 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201120012210112 its reverse (211012210021102), we get a palindrome (412132222231214).

The spelling of 201120012210112 in words is "two hundred one trillion, one hundred twenty billion, twelve million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 673 1088 1346 2692 5384 5813 10768 11441 11626 21536 22882 23252 43072 45764 46504 47251 91528 93008 94502 98821 183056 186016 189004 197642 366112 372032 378008 395284 732224 756016 790568 803267 1512032 1581136 1606534 3024064 3162272 3213068 3912149 6324544 6426136 7824298 12852272 15648596 25704544 31297192 31799923 51409088 62594384 63599846 66506533 125188768 127199692 133013066 250377536 254399384 266026132 274670063 508798768 532052264 540598691 549340126 1017597536 1064104528 1081197382 1098680252 2035195072 2128209056 2162394764 2197360504 4256418112 4324789528 4394721008 4669391071 8649579056 8789442016 9338782142 17299158112 17578884032 18677564284 34598316224 37355128568 74710257136 149420514272 184852952399 298841028544 369705904798 739411809596 1478823619192 2957647238384 3142500190783 5915294476768 6285000381566 11830588953536 12570000763132 25140001526264 50280003052528 100560006105056 201120012210112