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112221100 = 225241101271
BaseRepresentation
bin1101011000001…
…01101110101100
321211011102102001
412230011232230
5212212033400
615045142044
72531602135
oct654055654
9254142361
10112221100
1158389412
12316ba924
131a332324
1410c92c8c
159cbaa6a
hex6b05bac

112221100 has 72 divisors (see below), whose sum is σ = 252858816. Its totient is φ = 43200000.

The previous prime is 112221077. The next prime is 112221113. The reversal of 112221100 is 1122211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413965 + ... + 414235.

It is an arithmetic number, because the mean of its divisors is an integer number (3511928).

Almost surely, 2112221100 is an apocalyptic number.

112221100 is a gapful number since it is divisible by the number (10) 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 112221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126429408).

112221100 is an abundant number, since it is smaller than the sum of its proper divisors (140637716).

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

112221100 is a wasteful number, since it uses less digits than its factorization.

112221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 420 counting only the distinct ones).

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

The square root of 112221100 is about 10593.4460870861. The cubic root of 112221100 is about 482.3454362773.

Adding to 112221100 its reverse (1122211), we get a palindrome (113343311).

Multiplying 112221100 by its reverse (1122211), we get a square (125935752852100 = 112221102).

112221100 divided by its reverse (1122211) gives a square (100 = 102).

It can be divided in two parts, 1122 and 21100, that added together give a palindrome (22222).

The spelling of 112221100 in words is "one hundred twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 101 164 202 205 271 404 410 505 542 820 1010 1025 1084 1355 2020 2050 2525 2710 4100 4141 5050 5420 6775 8282 10100 11111 13550 16564 20705 22222 27100 27371 41410 44444 54742 55555 82820 103525 109484 111110 136855 207050 222220 273710 277775 414100 547420 555550 684275 1111100 1122211 1368550 2244422 2737100 4488844 5611055 11222110 22444220 28055275 56110550 112221100