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110022020202220 = 22571079323787793
BaseRepresentation
bin11001000001000001111111…
…011011100111111011101100
3112102120000001202102221211021
4121001001333123213323230
5103410100044132432340
61025555230205103524
732113554140246050
oct3101017733477354
9472500052387737
10110022020202220
1132069093155025
121040b007b57ba4
134951055377909
141d2514665dc60
15cabdd29d1e4a
hex64107f6e7eec

110022020202220 has 96 divisors (see below), whose sum is σ = 266549557897728. Its totient is φ = 37365239258112.

The previous prime is 110022020202217. The next prime is 110022020202221. The reversal of 110022020202220 is 22202020220011.

110022020202220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1100220202022203 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110022020202194 and 110022020202203.

It is not an unprimeable number, because it can be changed into a prime (110022020202221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139264644 + ... + 140052436.

It is an arithmetic number, because the mean of its divisors is an integer number (2776557894768).

Almost surely, 2110022020202220 is an apocalyptic number.

110022020202220 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 110022020202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133274778948864).

110022020202220 is an abundant number, since it is smaller than the sum of its proper divisors (156527537695508).

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

110022020202220 is a wasteful number, since it uses less digits than its factorization.

110022020202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797239 (or 797237 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 110022020202220 its reverse (22202020220011), we get a palindrome (132224040422231).

The spelling of 110022020202220 in words is "one hundred ten trillion, twenty-two billion, twenty million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1498 2140 2996 3745 7490 9323 14980 18646 37292 46615 65261 93230 130522 186460 261044 326305 652610 787793 997561 1305220 1575586 1995122 3151172 3938965 3990244 4987805 5514551 6982927 7877930 9975610 11029102 13965854 15755860 19951220 22058204 27572755 27931708 34914635 55145510 69829270 84293851 110291020 139658540 168587702 337175404 421469255 590056957 842938510 1180113914 1685877020 2360227828 2950284785 5900569570 7344594139 11801139140 14689188278 29378376556 36722970695 51412158973 73445941390 102824317946 146891882780 205648635892 257060794865 514121589730 785871572873 1028243179460 1571743145746 3143486291492 3929357864365 5501101010111 7858715728730 11002202020222 15717431457460 22004404040444 27505505050555 55011010101110 110022020202220