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112005112 = 23174153379
BaseRepresentation
bin1101010110100…
…00111111111000
321210202110010111
412223100333320
5212133130422
615040354104
72530012342
oct653207770
9253673114
10112005112
115825110a
1231615934
131a287c1b
1410c38292
159c76a77
hex6ad0ff8

112005112 has 64 divisors (see below), whose sum is σ = 232696800. Its totient is φ = 50319360.

The previous prime is 112005109. The next prime is 112005119. The reversal of 112005112 is 211500211.

It is a super-2 number, since 2×1120051122 = 25090290228265088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112005092 and 112005101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112005119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295339 + ... + 295717.

Almost surely, 2112005112 is an apocalyptic number.

It is an amenable number.

112005112 is an abundant number, since it is smaller than the sum of its proper divisors (120691688).

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

112005112 is a wasteful number, since it uses less digits than its factorization.

112005112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 112005112 is about 10583.2467608008. The cubic root of 112005112 is about 482.0357864421.

Adding to 112005112 its reverse (211500211), we get a palindrome (323505323).

The spelling of 112005112 in words is "one hundred twelve million, five thousand, one hundred twelve".

Divisors: 1 2 4 8 17 34 41 53 68 82 106 136 164 212 328 379 424 697 758 901 1394 1516 1802 2173 2788 3032 3604 4346 5576 6443 7208 8692 12886 15539 17384 20087 25772 31078 36941 40174 51544 62156 73882 80348 124312 147764 160696 264163 295528 341479 528326 682958 823567 1056652 1365916 1647134 2113304 2731832 3294268 6588536 14000639 28001278 56002556 112005112