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112122002321 = 7217569130241
BaseRepresentation
bin110100001101011111…
…1011111101110010001
3101201101222022212022122
41220122333133232101
53314111213033241
6123301431344025
711046326203100
oct1503277375621
9351358285278
10112122002321
1143606a4693a
1219891522015
13a75b01c694
1455d8d5a037
152db355904b
hex1a1afdfb91

112122002321 has 12 divisors (see below), whose sum is σ = 130436060580. Its totient is φ = 96098365440.

The previous prime is 112122002309. The next prime is 112122002327. The reversal of 112122002321 is 123200221211.

It can be written as a sum of positive squares in 2 ways, for example, as 26998104721 + 85123897600 = 164311^2 + 291760^2 .

It is not a de Polignac number, because 112122002321 - 222 = 112117808017 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112122002321.

It is not an unprimeable number, because it can be changed into a prime (112122002327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 795761 + ... + 926001.

It is an arithmetic number, because the mean of its divisors is an integer number (10869671715).

Almost surely, 2112122002321 is an apocalyptic number.

It is an amenable number.

112122002321 is a deficient number, since it is larger than the sum of its proper divisors (18314058259).

112122002321 is a wasteful number, since it uses less digits than its factorization.

112122002321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147824 (or 147817 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 112122002321 its reverse (123200221211), we get a palindrome (235322223532).

The spelling of 112122002321 in words is "one hundred twelve billion, one hundred twenty-two million, two thousand, three hundred twenty-one".

Divisors: 1 7 49 17569 122983 130241 860881 911687 6381809 2288204129 16017428903 112122002321