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132112112 = 24114715971
BaseRepresentation
bin1111101111111…
…01111011110000
3100012120222202012
413313331323300
5232310041422
621035342052
73162635336
oct767757360
9305528665
10132112112
1168634870
12382b1928
13214a7c62
141378db56
15b8e94e2
hex7dfdef0

132112112 has 40 divisors (see below), whose sum is σ = 285196032. Its totient is φ = 58769600.

The previous prime is 132112091. The next prime is 132112147. The reversal of 132112112 is 211211231.

It is a super-2 number, since 2×1321121122 = 34907220274201088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287 + ... + 16257.

Almost surely, 2132112112 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 132112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142598016).

132112112 is an abundant number, since it is smaller than the sum of its proper divisors (153083920).

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

132112112 is a wasteful number, since it uses less digits than its factorization.

132112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16037 (or 16031 counting only the distinct ones).

The product of its digits is 24, while the sum is 14.

The square root of 132112112 is about 11494.0033060723. The cubic root of 132112112 is about 509.3084462559.

Adding to 132112112 its reverse (211211231), we get a palindrome (343323343).

The spelling of 132112112 in words is "one hundred thirty-two million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 1034 2068 4136 8272 15971 31942 63884 127768 175681 255536 351362 702724 750637 1405448 1501274 2810896 3002548 6005096 8257007 12010192 16514014 33028028 66056056 132112112