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112211082 = 235373619
BaseRepresentation
bin1101011000000…
…11010010001010
321211010220200000
412230003102022
5212211223312
615045023430
72531531004
oct654032212
9254126600
10112211082
1158381935
12316b4b76
131a32a8b9
1410c8d374
159cb7adc
hex6b0348a

112211082 has 48 divisors (see below), whose sum is σ = 253212960. Its totient is φ = 37243152.

The previous prime is 112211081. The next prime is 112211117. The reversal of 112211082 is 280112211.

It is a super-2 number, since 2×1122110822 = 25182653847221448, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112211081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180969 + ... + 181587.

It is an arithmetic number, because the mean of its divisors is an integer number (5275270).

Almost surely, 2112211082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112211082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126606480).

112211082 is an abundant number, since it is smaller than the sum of its proper divisors (141001878).

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

112211082 is an equidigital number, since it uses as much as digits as its factorization.

112211082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 112211082 is about 10592.9732370095. The cubic root of 112211082 is about 482.3310828257.

Adding to 112211082 its reverse (280112211), we get a palindrome (392323293).

The spelling of 112211082 in words is "one hundred twelve million, two hundred eleven thousand, eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 373 486 619 746 1119 1238 1857 2238 3357 3714 5571 6714 10071 11142 16713 20142 30213 33426 50139 60426 90639 100278 150417 181278 230887 300834 461774 692661 1385322 2077983 4155966 6233949 12467898 18701847 37403694 56105541 112211082