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221011011101112 = 23334919926371187
BaseRepresentation
bin110010010000001000100010…
…110011101110000110111000
31001222112110001100211212210220
4302100020202303232012320
5212432021022320213422
62102015020140140040
764360342613035161
oct6220104263560670
91058473040755726
10221011011101112
116446a275026541
12209554b8537620
139642330b5189b
143c80dc0848768
151a8400c1bee5c
hexc90222cee1b8

221011011101112 has 32 divisors (see below), whose sum is σ = 552529130976000. Its totient is φ = 73670123270624.

The previous prime is 221011011101071. The next prime is 221011011101119. The reversal of 221011011101112 is 211101110110122.

It is a junction number, because it is equal to n+sod(n) for n = 221011011101091 and 221011011101100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011011101119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4804818 + ... + 21566369.

It is an arithmetic number, because the mean of its divisors is an integer number (17266535343000).

Almost surely, 2221011011101112 is an apocalyptic number.

It is an amenable number.

221011011101112 is an abundant number, since it is smaller than the sum of its proper divisors (331518119874888).

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

221011011101112 is a wasteful number, since it uses less digits than its factorization.

221011011101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26720395 (or 26720391 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 221011011101112 its reverse (211101110110122), we get a palindrome (432112121211234).

The spelling of 221011011101112 in words is "two hundred twenty-one trillion, eleven billion, eleven million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 349199 698398 1047597 1396796 2095194 2793592 4190388 8380776 26371187 52742374 79113561 105484748 158227122 210969496 316454244 632908488 9208792129213 18417584258426 27626376387639 36835168516852 55252752775278 73670337033704 110505505550556 221011011101112