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221010100112220 = 22354783777001101
BaseRepresentation
bin110010010000000111101100…
…100000100100101101011100
31001222112100200212122211222120
4302100013230200210231130
5212432012141112042340
62102014345514342540
764360311211540656
oct6220075440445534
91058470625584876
10221010100112220
1164469947879061
12209552a342aa50
1396422171ab4c3
143c80d3586b6d6
151a83ea72224d0
hexc901ec824b5c

221010100112220 has 48 divisors (see below), whose sum is σ = 618841224535968. Its totient is φ = 58934793913600.

The previous prime is 221010100112173. The next prime is 221010100112357. The reversal of 221010100112220 is 22211001010122.

It is a super-3 number, since 3×2210101001122203 (a number of 44 digits) contains 333 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221010100112220.

It is a congruent number.

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, 35630331 + ... + 41370770.

It is an arithmetic number, because the mean of its divisors is an integer number (12892525511166).

Almost surely, 2221010100112220 is an apocalyptic number.

221010100112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010100112220 is an abundant number, since it is smaller than the sum of its proper divisors (397831124423748).

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

221010100112220 is a wasteful number, since it uses less digits than its factorization.

221010100112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77048950 (or 77048948 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221010100112220 its reverse (22211001010122), we get a palindrome (243221101122342).

The spelling of 221010100112220 in words is "two hundred twenty-one trillion, ten billion, one hundred million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 47837 95674 143511 191348 239185 287022 478370 574044 717555 956740 1435110 2870220 77001101 154002202 231003303 308004404 385005505 462006606 770011010 924013212 1155016515 1540022020 2310033030 4620066060 3683501668537 7367003337074 11050505005611 14734006674148 18417508342685 22101010011222 36835016685370 44202020022444 55252525028055 73670033370740 110505050056110 221010100112220