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112013442 = 2341789457
BaseRepresentation
bin1101010110100…
…11000010000010
321210202212120000
412223103002002
5212133412232
615040500430
72530045542
oct653230202
9253685500
10112013442
11582573a2
123161a716
131a28b958
1410c3b322
159c7927c
hex6ad3082

112013442 has 80 divisors (see below), whose sum is σ = 269331480. Its totient is φ = 34670592.

The previous prime is 112013441. The next prime is 112013443. The reversal of 112013442 is 244310211.

It is an interprime number because it is at equal distance from previous prime (112013441) and next prime (112013443).

It can be written as a sum of positive squares in 4 ways, for example, as 107308881 + 4704561 = 10359^2 + 2169^2 .

It is a super-2 number, since 2×1120134422 = 25094022377374728, 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 (112013441) 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 39 ways as a sum of consecutive naturals, for example, 244878 + ... + 245334.

Almost surely, 2112013442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112013442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134665740).

112013442 is an abundant number, since it is smaller than the sum of its proper divisors (157318038).

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

112013442 is a wasteful number, since it uses less digits than its factorization.

112013442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112013442 is about 10583.6403000102. The cubic root of 112013442 is about 482.0477360710.

Adding to 112013442 its reverse (244310211), we get a palindrome (356323653).

The spelling of 112013442 in words is "one hundred twelve million, thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 89 102 153 162 178 267 306 457 459 534 801 914 918 1371 1377 1513 1602 2403 2742 2754 3026 4113 4539 4806 7209 7769 8226 9078 12339 13617 14418 15538 23307 24678 27234 37017 40673 40851 46614 69921 74034 81346 81702 122019 122553 139842 209763 244038 245106 366057 419526 629289 691441 732114 1098171 1258578 1382882 2074323 2196342 3294513 4148646 6222969 6589026 12445938 18668907 37337814 56006721 112013442