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110221122220 = 225114717336151
BaseRepresentation
bin110011010100110110…
…0001101101010101100
3101112111111111011000221
41212221230031222230
53301213101402340
6122345045101124
710651245036436
oct1465154155254
9345444434027
10110221122220
1142820a4a550
12194409b77a4
13a51726b361
145498703656
152d0172544a
hex19a9b0daac

110221122220 has 96 divisors (see below), whose sum is σ = 258069805056. Its totient is φ = 39198624000.

The previous prime is 110221122203. The next prime is 110221122229. The reversal of 110221122220 is 22221122011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110221122194 and 110221122203.

It is not an unprimeable number, because it can be changed into a prime (110221122229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17916145 + ... + 17922295.

It is an arithmetic number, because the mean of its divisors is an integer number (2688227136).

Almost surely, 2110221122220 is an apocalyptic number.

110221122220 is a gapful number since it is divisible by the number (10) 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 110221122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129034902528).

110221122220 is an abundant number, since it is smaller than the sum of its proper divisors (147848682836).

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

110221122220 is a wasteful number, since it uses less digits than its factorization.

110221122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951 (or 7949 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110221122220 its reverse (22221122011), we get a palindrome (132442244231).

The spelling of 110221122220 in words is "one hundred ten billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 1733 2068 2585 3466 5170 6151 6932 8665 10340 12302 17330 19063 24604 30755 34660 38126 61510 67661 76252 81451 95315 123020 135322 162902 190630 270644 289097 325804 338305 381260 407255 578194 676610 814510 895961 1156388 1353220 1445485 1629020 1791922 2890970 3180067 3583844 4479805 5781940 6360134 8959610 10659683 12720268 15900335 17919220 21319366 31800670 42638732 53298415 63601340 106596830 117256513 213193660 234513026 469026052 501005101 586282565 1002010202 1172565130 2004020404 2345130260 2505025505 5010051010 5511056111 10020102020 11022112222 22044224444 27555280555 55110561110 110221122220