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110121022200020 = 225138927071757999
BaseRepresentation
bin11001000010011110001100…
…011010010001100011010100
3112102220110121101011112102112
4121002132030122101203110
5103413210323140400040
61030112522121330152
732123660405324126
oct3102361432214324
9472813541145375
10110121022200020
11320a7077201317
1210426237636958
13495a4a21995c0
141d29c58d33216
15cae7792d2365
hex64278c6918d4

110121022200020 has 96 divisors (see below), whose sum is σ = 251934338880000. Its totient is φ = 40188340583424.

The previous prime is 110121022200019. The next prime is 110121022200073. The reversal of 110121022200020 is 20002220121011.

It is a junction number, because it is equal to n+sod(n) for n = 110121022199968 and 110121022200004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61760981 + ... + 63518979.

It is an arithmetic number, because the mean of its divisors is an integer number (2624316030000).

Almost surely, 2110121022200020 is an apocalyptic number.

110121022200020 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 110121022200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125967169440000).

110121022200020 is an abundant number, since it is smaller than the sum of its proper divisors (141813316679980).

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

110121022200020 is a wasteful number, since it uses less digits than its factorization.

110121022200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760817 (or 1760815 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110121022200020 its reverse (20002220121011), we get a palindrome (130123242321031).

The spelling of 110121022200020 in words is "one hundred ten trillion, one hundred twenty-one billion, twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 890 1157 1780 2314 2707 4628 5414 5785 10828 11570 13535 23140 27070 35191 54140 70382 140764 175955 240923 351910 481846 703820 963692 1204615 1757999 2409230 3131999 3515998 4818460 6263998 7031996 8789995 12527996 15659995 17579990 22853987 31319990 35159980 45707974 62639980 91415948 114269935 156461911 228539870 312923822 457079740 625847644 782309555 1564619110 2034004843 3129238220 4068009686 4758903293 8136019372 9517806586 10170024215 19035613172 20340048430 23794516465 40680096860 47589032930 61865742809 95178065860 123731485618 247462971236 309328714045 423542393077 618657428090 847084786154 1237314856180 1694169572308 2117711965385 4235423930770 5506051110001 8470847861540 11012102220002 22024204440004 27530255550005 55060511100010 110121022200020