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112112052 = 223131634409
BaseRepresentation
bin1101010111010…
…11000110110100
321210221212211020
412223223012310
5212200041202
615042541140
72530636203
oct653530664
9253855736
10112112052
1158314498
12316677b0
131a2c47c0
1410c6523a
159c985bc
hex6aeb1b4

112112052 has 48 divisors (see below), whose sum is σ = 283510080. Its totient is φ = 34276608.

The previous prime is 112112009. The next prime is 112112069. The reversal of 112112052 is 250211211.

It is a super-2 number, since 2×1121120522 = 25138224407301408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23224 + ... + 27632.

It is an arithmetic number, because the mean of its divisors is an integer number (5906460).

Almost surely, 2112112052 is an apocalyptic number.

112112052 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 112112052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141755040).

112112052 is an abundant number, since it is smaller than the sum of its proper divisors (171398028).

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

112112052 is a wasteful number, since it uses less digits than its factorization.

112112052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 112112052 is about 10588.2978802072. The cubic root of 112112052 is about 482.1891500069.

Adding to 112112052 its reverse (250211211), we get a palindrome (362323263).

The spelling of 112112052 in words is "one hundred twelve million, one hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 163 326 489 652 978 1956 2119 4238 4409 6357 8476 8818 12714 13227 17636 25428 26454 52908 57317 114634 171951 229268 343902 687804 718667 1437334 2156001 2874668 4312002 8624004 9342671 18685342 28028013 37370684 56056026 112112052