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21211112112 = 243441898169
BaseRepresentation
bin10011110000010001…
…111110001010110000
32000202020110010201220
4103300101332022300
5321420021041422
613424431425040
71350426323001
oct236021761260
960666403656
1021211112112
118aa5135523
12413b685180
13200058cc18
1410530a91a8
1584224de5c
hex4f047e2b0

21211112112 has 20 divisors (see below), whose sum is σ = 54795373080. Its totient is φ = 7070370688.

The previous prime is 21211112017. The next prime is 21211112147. The reversal of 21211112112 is 21121111212.

Adding to 21211112112 its reverse (21121111212), we get a palindrome (42332223324).

It is a happy number.

It is a super-2 number, since 2×212111121122 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21211112091 and 21211112100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 220949037 + ... + 220949132.

It is an arithmetic number, because the mean of its divisors is an integer number (2739768654).

Almost surely, 221211112112 is an apocalyptic number.

It is an amenable number.

21211112112 is an abundant number, since it is smaller than the sum of its proper divisors (33584260968).

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

21211112112 is a wasteful number, since it uses less digits than its factorization.

21211112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441898180 (or 441898174 counting only the distinct ones).

The product of its digits is 16, while the sum is 15.

The spelling of 21211112112 in words is "twenty-one billion, two hundred eleven million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 441898169 883796338 1325694507 1767592676 2651389014 3535185352 5302778028 7070370704 10605556056 21211112112