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21112621112 = 231121031071979
BaseRepresentation
bin10011101010011010…
…010000100000111000
32000111101010021111002
4103222122100200320
5321214312333422
613410552424132
71345122214142
oct235232204070
960441107432
1021112621112
118a54584800
1241126a8048
131cb605721b
141043d8bc92
15838796692
hex4ea690838

21112621112 has 96 divisors (see below), whose sum is σ = 44367523200. Its totient is φ = 9409899840.

The previous prime is 21112621111. The next prime is 21112621163.

21112621112 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112621111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10667339 + ... + 10669317.

It is an arithmetic number, because the mean of its divisors is an integer number (462161700).

Almost surely, 221112621112 is an apocalyptic number.

21112621112 is a gapful number since it is divisible by the number (22) 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 21112621112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22183761600).

21112621112 is an abundant number, since it is smaller than the sum of its proper divisors (23254902088).

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

21112621112 is a wasteful number, since it uses less digits than its factorization.

21112621112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2202 counting only the distinct ones).

The product of its digits is 96, while the sum is 20.

The spelling of 21112621112 in words is "twenty-one billion, one hundred twelve million, six hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 103 107 121 206 214 242 412 428 484 824 856 968 1133 1177 1979 2266 2354 3958 4532 4708 7916 9064 9416 11021 12463 12947 15832 21769 22042 24926 25894 43538 44084 49852 51788 87076 88168 99704 103576 121231 174152 203837 211753 239459 242462 407674 423506 478918 484924 815348 847012 957836 969848 1333541 1630696 1694024 1915672 2242207 2329283 2667082 4484414 4658566 5334164 8968828 9317132 10668328 17937656 18634264 21810559 24664277 25622113 43621118 49328554 51244226 87242236 98657108 102488452 174484472 197314216 204976904 239916149 479832298 959664596 1919329192 2639077639 5278155278 10556310556 21112621112