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112111221 = 3312371051
BaseRepresentation
bin1101010111010…
…10111001110101
321210221211200110
412223222321311
5212200024341
615042533233
72530633605
oct653527165
9253854613
10112111221
1158313902
1231667219
131a2c4301
1410c64c05
159c98216
hex6aeae75

112111221 has 24 divisors (see below), whose sum is σ = 158784672. Its totient is φ = 70308000.

The previous prime is 112111213. The next prime is 112111231. The reversal of 112111221 is 122111211.

It is not a de Polignac number, because 112111221 - 23 = 112111213 is a prime.

It is a super-2 number, since 2×1121112212 = 25137851748221682, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112111197 and 112111206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111211) 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 23 ways as a sum of consecutive naturals, for example, 106146 + ... + 107196.

It is an arithmetic number, because the mean of its divisors is an integer number (6616028).

Almost surely, 2112111221 is an apocalyptic number.

It is an amenable number.

112111221 is a deficient number, since it is larger than the sum of its proper divisors (46673451).

112111221 is a wasteful number, since it uses less digits than its factorization.

112111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1122 counting only the distinct ones).

The product of its digits is 8, while the sum is 12.

The square root of 112111221 is about 10588.2586386998. The cubic root of 112111221 is about 482.1879586388.

Adding to 112111221 its reverse (122111211), we get a palindrome (234222432).

It can be divided in two parts, 11211 and 1221, that multiplied together give a palindrome (13688631).

The spelling of 112111221 in words is "one hundred twelve million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 31 37 93 111 961 1051 1147 2883 3153 3441 32581 35557 38887 97743 106671 116661 1010011 1205497 3030033 3616491 37370407 112111221