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112312122 = 231310713457
BaseRepresentation
bin1101011000110…
…11111100111010
321211100001021020
412230123330322
5212222441442
615051123310
72532431406
oct654337472
9254301236
10112312122
115844083a
1231743536
131a3648a0
1410cb8106
159cd79ec
hex6b1bf3a

112312122 has 32 divisors (see below), whose sum is σ = 244181952. Its totient is φ = 34232064.

The previous prime is 112312121. The next prime is 112312133. The reversal of 112312122 is 221213211.

It is a super-2 number, since 2×1123121222 = 25228025496285768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (112312121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1618 + ... + 15074.

It is an arithmetic number, because the mean of its divisors is an integer number (7630686).

Almost surely, 2112312122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112312122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122090976).

112312122 is an abundant number, since it is smaller than the sum of its proper divisors (131869830).

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

112312122 is a wasteful number, since it uses less digits than its factorization.

112312122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13582.

The product of its digits is 48, while the sum is 15.

The square root of 112312122 is about 10597.7413631396. The cubic root of 112312122 is about 482.4758103975.

Adding to 112312122 its reverse (221213211), we get a palindrome (333525333).

The spelling of 112312122 in words is "one hundred twelve million, three hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 107 214 321 642 1391 2782 4173 8346 13457 26914 40371 80742 174941 349882 524823 1049646 1439899 2879798 4319697 8639394 18718687 37437374 56156061 112312122