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111122221210220 = 2251117208714236619
BaseRepresentation
bin11001010001000010101000…
…100001011001101001101100
3112120110011212122201222200202
4121101002220201121221230
5104031111302112211340
61032200502123013032
732256213142436543
oct3121025041315154
9476404778658622
10111122221210220
113245273aa17330
121056829306a178
134a00a1b9a0c1c
141d624b66cd15a
15cca825e3ac15
hex6510a8859a6c

111122221210220 has 96 divisors (see below), whose sum is σ = 269674839544320. Its totient is φ = 38012908989440.

The previous prime is 111122221210219. The next prime is 111122221210267. The reversal of 111122221210220 is 22012122221111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 111122221210192 and 111122221210201.

It is an unprimeable number.

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, 687071 + ... + 14923689.

It is an arithmetic number, because the mean of its divisors is an integer number (2809112911920).

Almost surely, 2111122221210220 is an apocalyptic number.

111122221210220 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 111122221210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134837419772160).

111122221210220 is an abundant number, since it is smaller than the sum of its proper divisors (158552618334100).

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

111122221210220 is a wasteful number, since it uses less digits than its factorization.

111122221210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14238743 (or 14238741 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 111122221210220 its reverse (22012122221111), we get a palindrome (133134343431331).

The spelling of 111122221210220 in words is "one hundred eleven trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 2087 3740 4174 8348 10435 20870 22957 35479 41740 45914 70958 91828 114785 141916 177395 229570 354790 390269 459140 709580 780538 1561076 1951345 3902690 7805380 14236619 28473238 56946476 71183095 142366190 156602809 242022523 284732380 313205618 484045046 626411236 783014045 968090092 1210112615 1566028090 2420225230 2662247753 3132056180 4840450460 5324495506 10648991012 13311238765 26622477530 29711823853 53244955060 59423647706 118847295412 148559119265 297118238530 326830062383 505101005501 594236477060 653660124766 1010202011002 1307320249532 1634150311915 2020404022004 2525505027505 3268300623830 5051010055010 5556111060511 6536601247660 10102020110020 11112222121022 22224444242044 27780555302555 55561110605110 111122221210220