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1232112112 = 247113132261
BaseRepresentation
bin100100101110000…
…1000100111110000
310011212102210001221
41021130020213300
510010410041422
6322132234424
742350531410
oct11134104760
93155383057
101232112112
1158254a080
122a476ba14
1316835892a
14b98cc640
15732803c7
hex497089f0

1232112112 has 80 divisors (see below), whose sum is σ = 3072374784. Its totient is φ = 464544000.

The previous prime is 1232112109. The next prime is 1232112127. The reversal of 1232112112 is 2112112321.

It is a Harshad number since it is a multiple of its sum of digits (16).

1232112112 is a modest number, since divided by 112112 gives 1232 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22062 + ... + 54322.

Almost surely, 21232112112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1232112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536187392).

1232112112 is an abundant number, since it is smaller than the sum of its proper divisors (1840262672).

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

1232112112 is a wasteful number, since it uses less digits than its factorization.

1232112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32318 (or 32312 counting only the distinct ones).

The product of its digits is 48, while the sum is 16.

The square root of 1232112112 is about 35101.4545567559. The cubic root of 1232112112 is about 1072.0541991978.

Adding to 1232112112 its reverse (2112112321), we get a palindrome (3344224433).

The spelling of 1232112112 in words is "one billion, two hundred thirty-two million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 124 154 176 217 248 308 341 434 496 616 682 868 1232 1364 1736 2387 2728 3472 4774 5456 9548 19096 32261 38192 64522 129044 225827 258088 354871 451654 516176 709742 903308 1000091 1419484 1806616 2000182 2484097 2838968 3613232 4000364 4968194 5677936 7000637 8000728 9936388 11001001 14001274 16001456 19872776 22002002 28002548 39745552 44004004 56005096 77007007 88008008 112010192 154014014 176016016 308028028 616056056 1232112112