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2202103312121 = 374110314093371
BaseRepresentation
bin100000000010110111100…
…101011110111011111001
321210112000100212212021102
4200002313211132323321
5242034401421441441
64403344324221145
7315045113212256
oct40026745367371
97715010785242
102202103312121
117799a7a02569
122b6947b3a7b5
1312c871560b1b
147882204042d
153c435e2069b
hex200b795eef9

2202103312121 has 16 divisors (see below), whose sum is σ = 2339274258048. Its totient is φ = 2070034185600.

The previous prime is 2202103312009. The next prime is 2202103312151. The reversal of 2202103312121 is 1212133012022.

It is a cyclic number.

It is not a de Polignac number, because 2202103312121 - 218 = 2202103049977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2202103312093 and 2202103312102.

It is not an unprimeable number, because it can be changed into a prime (2202103312151) 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, 6890435 + ... + 7202936.

It is an arithmetic number, because the mean of its divisors is an integer number (146204641128).

Almost surely, 22202103312121 is an apocalyptic number.

It is an amenable number.

2202103312121 is a deficient number, since it is larger than the sum of its proper divisors (137170945927).

2202103312121 is a wasteful number, since it uses less digits than its factorization.

2202103312121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14093552.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2202103312121 its reverse (1212133012022), we get a palindrome (3414236324143).

The spelling of 2202103312121 in words is "two trillion, two hundred two billion, one hundred three million, three hundred twelve thousand, one hundred twenty-one".

Divisors: 1 37 41 103 1517 3811 4223 156251 14093371 521454727 577828211 1451617213 21379643807 53709836881 59516305733 2202103312121