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221100110020 = 225472111114753
BaseRepresentation
bin1100110111101010010…
…1111111000011000100
3210010200211212022222201
43031322211333003010
512110303112010040
6245323314404244
721655031632516
oct3157245770304
9703624768881
10221100110020
118584a280159
1236a25b90684
1317b078b588a
14a9b6533bb6
155b40a98a9a
hex337a97f0c4

221100110020 has 48 divisors (see below), whose sum is σ = 476436941568. Its totient is φ = 86148034560.

The previous prime is 221100109981. The next prime is 221100110041. The reversal of 221100110020 is 20011001122.

It is a super-4 number, since 4×2211001100204 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 221100109979 and 221100110006.

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, 359037 + ... + 755716.

It is an arithmetic number, because the mean of its divisors is an integer number (9925769616).

Almost surely, 2221100110020 is an apocalyptic number.

221100110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221100110020 is an abundant number, since it is smaller than the sum of its proper divisors (255336831548).

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

221100110020 is a wasteful number, since it uses less digits than its factorization.

221100110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115020 (or 1115018 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 221100110020 its reverse (20011001122), we get a palindrome (241111111142).

The spelling of 221100110020 in words is "two hundred twenty-one billion, one hundred million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 47 94 188 211 235 422 470 844 940 1055 2110 4220 9917 19834 39668 49585 99170 198340 1114753 2229506 4459012 5573765 11147530 22295060 52393391 104786782 209573564 235212883 261966955 470425766 523933910 940851532 1047867820 1176064415 2352128830 4704257660 11055005501 22110011002 44220022004 55275027505 110550055010 221100110020