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112011441 = 3192591753
BaseRepresentation
bin1101010110100…
…10100010110001
321210202202210220
412223102202301
5212133331231
615040443253
72530036653
oct653224261
9253682726
10112011441
1158255943
1231619529
131a28aa79
1410c3a6d3
159c78896
hex6ad28b1

112011441 has 24 divisors (see below), whose sum is σ = 160385760. Its totient is φ = 69505344.

The previous prime is 112011421. The next prime is 112011443. The reversal of 112011441 is 144110211.

It is not a de Polignac number, because 112011441 - 211 = 112009393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112011441.

It is not an unprimeable number, because it can be changed into a prime (112011443) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 63021 + ... + 64773.

It is an arithmetic number, because the mean of its divisors is an integer number (6682740).

Almost surely, 2112011441 is an apocalyptic number.

It is an amenable number.

112011441 is a deficient number, since it is larger than the sum of its proper divisors (48374319).

112011441 is a wasteful number, since it uses less digits than its factorization.

112011441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 112011441 is about 10583.5457668968. The cubic root of 112011441 is about 482.0448656319.

Adding to 112011441 its reverse (144110211), we get a palindrome (256121652).

It can be divided in two parts, 1120 and 11441, that added together give a triangular number (12561 = T158).

The spelling of 112011441 in words is "one hundred twelve million, eleven thousand, four hundred forty-one".

Divisors: 1 3 19 57 59 177 361 1083 1121 1753 3363 5259 21299 33307 63897 99921 103427 310281 632833 1898499 1965113 5895339 37337147 112011441