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112112331 = 31719375359
BaseRepresentation
bin1101010111010…
…11001011001011
321210221220012120
412223223023023
5212200043311
615042542323
72530640052
oct653531313
9253856176
10112112331
1158314721
12316679a3
131a2c4976
1410c65399
159c98706
hex6aeb2cb

112112331 has 64 divisors (see below), whose sum is σ = 177292800. Its totient is φ = 62539776.

The previous prime is 112112317. The next prime is 112112339. The reversal of 112112331 is 133211211.

It is a happy number.

It is not a de Polignac number, because 112112331 - 26 = 112112267 is a prime.

It is a super-2 number, since 2×1121123312 = 25138349524507122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112112331.

It is not an unprimeable number, because it can be changed into a prime (112112339) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1900180 + ... + 1900238.

It is an arithmetic number, because the mean of its divisors is an integer number (2770200).

Almost surely, 2112112331 is an apocalyptic number.

112112331 is a deficient number, since it is larger than the sum of its proper divisors (65180469).

112112331 is a wasteful number, since it uses less digits than its factorization.

112112331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188.

The product of its digits is 36, while the sum is 15.

The square root of 112112331 is about 10588.3110551211. The cubic root of 112112331 is about 482.1895499956.

Adding to 112112331 its reverse (133211211), we get a palindrome (245323542).

The spelling of 112112331 in words is "one hundred twelve million, one hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 17 19 37 51 53 57 59 111 159 177 323 629 703 901 969 1003 1007 1121 1887 1961 2109 2183 2703 3009 3021 3127 3363 5883 6549 9381 11951 17119 19057 33337 35853 37111 37259 41477 51357 53159 57171 59413 100011 111333 111777 115699 124431 159477 178239 347097 633403 705109 1010021 1900209 1966883 2115327 2198281 3030063 5900649 6594843 37370777 112112331