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112122311322 = 23759109415111
BaseRepresentation
bin110100001101100000…
…0101011001010011010
3101201101222220120012010
41220123000223022122
53314111302430242
6123301442130350
711046331631010
oct1503300531232
9351358816163
10112122311322
114360713800a
12198916509b6
13a75b0ca218
1455d8dda8b0
152db35ba89c
hex1a1b02b29a

112122311322 has 64 divisors (see below), whose sum is σ = 263014963200. Its totient is φ = 31202988480.

The previous prime is 112122311317. The next prime is 112122311347. The reversal of 112122311322 is 223113221211.

112122311322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62547 + ... + 477657.

It is an arithmetic number, because the mean of its divisors is an integer number (4109608800).

Almost surely, 2112122311322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112122311322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131507481600).

112122311322 is an abundant number, since it is smaller than the sum of its proper divisors (150892651878).

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

112122311322 is a wasteful number, since it uses less digits than its factorization.

112122311322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415291.

The product of its digits is 288, while the sum is 21.

Adding to 112122311322 its reverse (223113221211), we get a palindrome (335235532533).

The spelling of 112122311322 in words is "one hundred twelve billion, one hundred twenty-two million, three hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 59 109 118 177 218 327 354 413 654 763 826 1239 1526 2289 2478 4578 6431 12862 19293 38586 45017 90034 135051 270102 415111 830222 1245333 2490666 2905777 5811554 8717331 17434662 24491549 45247099 48983098 73474647 90494198 135741297 146949294 171440843 271482594 316729693 342881686 514322529 633459386 950189079 1028645058 1900378158 2669578841 5339157682 8008736523 16017473046 18687051887 37374103774 56061155661 112122311322