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2122112004233 = 133147112038013
BaseRepresentation
bin11110111000010111101…
…110110111000010001001
321111212112122010101121112
4132320113232313002021
5234232041133113413
64302515041020105
7306213625262144
oct36702756670211
97455478111545
102122112004233
11748a899a2a51
122a3343024635
13125164180490
14749d44c905b
153a3035bc2a8
hex1ee17bb7089

2122112004233 has 16 divisors (see below), whose sum is σ = 2409265453056. Its totient is φ = 1855349478720.

The previous prime is 2122112004209. The next prime is 2122112004301. The reversal of 2122112004233 is 3324002112212.

It is a cyclic number.

It is not a de Polignac number, because 2122112004233 - 212 = 2122112000137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2122112004199 and 2122112004208.

It is not an unprimeable number, because it can be changed into a prime (2122112009233) 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 15 ways as a sum of consecutive naturals, for example, 56000066 + ... + 56037947.

It is an arithmetic number, because the mean of its divisors is an integer number (150579090816).

Almost surely, 22122112004233 is an apocalyptic number.

It is an amenable number.

2122112004233 is a deficient number, since it is larger than the sum of its proper divisors (287153448823).

2122112004233 is a wasteful number, since it uses less digits than its factorization.

2122112004233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112038104.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2122112004233 its reverse (3324002112212), we get a palindrome (5446114116445).

The spelling of 2122112004233 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, four thousand, two hundred thirty-three".

Divisors: 1 13 31 47 403 611 1457 18941 112038013 1456494169 3473178403 5265786611 45151319239 68455225943 163239384941 2122112004233