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112410012 = 223111325039
BaseRepresentation
bin1101011001100…
…11110110011100
321211112000112210
412230303312130
5212234110022
615053200420
72533316661
oct654636634
9254460483
10112410012
11584a8340
1231790110
131a39a300
1410d01a68
159d06a0c
hex6b33d9c

112410012 has 72 divisors (see below), whose sum is σ = 309899520. Its totient is φ = 31437120.

The previous prime is 112409963. The next prime is 112410013. The reversal of 112410012 is 210014211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 112410012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112410013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19789 + ... + 24827.

It is an arithmetic number, because the mean of its divisors is an integer number (4304160).

Almost surely, 2112410012 is an apocalyptic number.

112410012 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 112410012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154949760).

112410012 is an abundant number, since it is smaller than the sum of its proper divisors (197489508).

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

112410012 is a wasteful number, since it uses less digits than its factorization.

112410012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 112410012 is about 10602.3587941552. The cubic root of 112410012 is about 482.6159432145.

Adding to 112410012 its reverse (210014211), we get a palindrome (322424223).

The spelling of 112410012 in words is "one hundred twelve million, four hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 169 286 338 429 507 572 676 858 1014 1716 1859 2028 3718 5039 5577 7436 10078 11154 15117 20156 22308 30234 55429 60468 65507 110858 131014 166287 196521 221716 262028 332574 393042 665148 720577 786084 851591 1441154 1703182 2161731 2554773 2882308 3406364 4323462 5109546 8646924 9367501 10219092 18735002 28102503 37470004 56205006 112410012