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110221200022122 = 23371916193947747
BaseRepresentation
bin11001000011111011011111…
…011110010101101001101010
3112110021001011221102011202000
4121003323133132111221222
5103421331004201201442
61030230530435551430
732134135041630330
oct3103733736255152
9473231157364660
10110221200022122
1132135603a51832
1210441734a5b576
134966a78799807
141d30a3d841b50
15cb218de44d4c
hex643edf795a6a

110221200022122 has 128 divisors (see below), whose sum is σ = 294678357350400. Its totient is φ = 29832435883008.

The previous prime is 110221200022099. The next prime is 110221200022123. The reversal of 110221200022122 is 221220002122011.

It is a happy number.

110221200022122 is a `hidden beast` number, since 1 + 1 + 0 + 221 + 200 + 0 + 221 + 22 = 666.

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 = 110221200022095 and 110221200022104.

It is not an unprimeable number, because it can be changed into a prime (110221200022123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115824253 + ... + 116771999.

It is an arithmetic number, because the mean of its divisors is an integer number (2302174666800).

Almost surely, 2110221200022122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110221200022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147339178675200).

110221200022122 is an abundant number, since it is smaller than the sum of its proper divisors (184457157328278).

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

110221200022122 is a wasteful number, since it uses less digits than its factorization.

110221200022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963977 (or 963971 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 110221200022122 its reverse (221220002122011), we get a palindrome (331441202144133).

The spelling of 110221200022122 in words is "one hundred ten trillion, two hundred twenty-one billion, two hundred million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 7182 16193 32386 48579 97158 113351 145737 226702 291474 307667 340053 437211 615334 680106 874422 923001 947747 1020159 1846002 1895494 2040318 2153669 2769003 2843241 3060477 4307338 5538006 5686482 6120954 6461007 6634229 8307009 8529723 12922014 13268458 16614018 17059446 18007193 19383021 19902687 25589169 36014386 38766042 39805374 51178338 54021579 58149063 59708061 108043158 116298126 119416122 126050351 162064737 179124183 252100702 324129474 358248366 378151053 486194211 756302106 972388422 1134453159 2268906318 3403359477 6806718954 15346867171 30693734342 46040601513 92081203026 107428070197 138121804539 214856140394 276243609078 291590476249 322284210591 414365413617 583180952498 644568421182 828730827234 874771428747 966852631773 1749542857494 1933705263546 2041133333743 2624314286241 2900557895319 4082266667486 5248628572482 5801115790638 6123400001229 7872942858723 12246800002458 15745885717446 18370200003687 36740400007374 55110600011061 110221200022122