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112221126 = 2342923887
BaseRepresentation
bin1101011000001…
…01101111000110
321211011102110000
412230011233012
5212212034001
615045142130
72531602203
oct654055706
9254142400
10112221126
1158389436
12316ba946
131a332344
1410c92caa
159cbaa86
hex6b05bc6

112221126 has 40 divisors (see below), whose sum is σ = 260140320. Its totient is φ = 36115632.

The previous prime is 112221113. The next prime is 112221133. The reversal of 112221126 is 621122211.

It is a super-2 number, since 2×1122211262 = 25187162241415752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112221099 and 112221108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7246 + ... + 16641.

It is an arithmetic number, because the mean of its divisors is an integer number (6503508).

Almost surely, 2112221126 is an apocalyptic number.

112221126 is an abundant number, since it is smaller than the sum of its proper divisors (147919194).

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

112221126 is a wasteful number, since it uses less digits than its factorization.

112221126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23930 (or 23921 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 112221126 is about 10593.4473142599. The cubic root of 112221126 is about 482.3454735281.

Adding to 112221126 its reverse (621122211), we get a palindrome (733343337).

The spelling of 112221126 in words is "one hundred twelve million, two hundred twenty-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 4698 23887 47774 71661 143322 214983 429966 644949 692723 1289898 1385446 1934847 2078169 3869694 4156338 6234507 12469014 18703521 37407042 56110563 112221126