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220101112 = 237111033469
BaseRepresentation
bin11010001111001…
…11100111111000
3120100011021222001
431013213213320
5422321213422
633501310344
75311554130
oct1507474770
9510137861
10220101112
11103272250
12618653b4
13367a475a
1421335ac0
15144ca227
hexd1e79f8

220101112 has 64 divisors (see below), whose sum is σ = 519667200. Its totient is φ = 84896640.

The previous prime is 220101109. The next prime is 220101113. The reversal of 220101112 is 211101022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220101113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61714 + ... + 65182.

It is an arithmetic number, because the mean of its divisors is an integer number (8119800).

Almost surely, 2220101112 is an apocalyptic number.

220101112 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 220101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259833600).

220101112 is an abundant number, since it is smaller than the sum of its proper divisors (299566088).

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

220101112 is a wasteful number, since it uses less digits than its factorization.

220101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 220101112 is about 14835.8050674711. The cubic root of 220101112 is about 603.7735434553.

Adding to 220101112 its reverse (211101022), we get a palindrome (431202134).

The spelling of 220101112 in words is "two hundred twenty million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 103 154 206 308 412 616 721 824 1133 1442 2266 2884 3469 4532 5768 6938 7931 9064 13876 15862 24283 27752 31724 38159 48566 63448 76318 97132 152636 194264 267113 305272 357307 534226 714614 1068452 1429228 2136904 2501149 2858456 3930377 5002298 7860754 10004596 15721508 20009192 27512639 31443016 55025278 110050556 220101112