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112110012 = 2232731113127
BaseRepresentation
bin1101010111010…
…10100110111100
321210221210000200
412223222212330
5212200010022
615042523500
72530630230
oct653524674
9253853020
10112110012
1158312a03
1231666590
131a2c38b1
1410c645c0
159c97bac
hex6aea9bc

112110012 has 144 divisors (see below), whose sum is σ = 339935232. Its totient is φ = 30481920.

The previous prime is 112110001. The next prime is 112110017. The reversal of 112110012 is 210011211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112109976 and 112110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112110017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 882693 + ... + 882819.

Almost surely, 2112110012 is an apocalyptic number.

112110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169967616).

112110012 is an abundant number, since it is smaller than the sum of its proper divisors (227825220).

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

112110012 is a wasteful number, since it uses less digits than its factorization.

112110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 112110012 is about 10588.2015470050. The cubic root of 112110012 is about 482.1862253382.

Adding to 112110012 its reverse (210011211), we get a palindrome (322121223).

The spelling of 112110012 in words is "one hundred twelve million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 113 124 126 127 186 217 226 252 254 279 339 372 381 434 452 508 558 651 678 762 791 868 889 1017 1116 1143 1302 1356 1524 1582 1778 1953 2034 2286 2373 2604 2667 3164 3503 3556 3906 3937 4068 4572 4746 5334 7006 7119 7812 7874 8001 9492 10509 10668 11811 14012 14238 14351 15748 16002 21018 23622 24521 27559 28476 28702 31527 32004 35433 42036 43053 47244 49042 55118 57404 63054 70866 73563 82677 86106 98084 100457 110236 126108 129159 141732 147126 165354 172212 200914 220689 248031 258318 294252 301371 330708 401828 441378 444881 496062 516636 602742 882756 889762 904113 992124 1205484 1334643 1779524 1808226 2669286 3114167 3616452 4003929 5338572 6228334 8007858 9342501 12456668 16015716 18685002 28027503 37370004 56055006 112110012