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2122212103 = 112471033623
BaseRepresentation
bin111111001111110…
…0110001100000111
312110220022112201021
41332133212030013
513321241241403
6550330212011
7103406335204
oct17637461407
95426275637
102122212103
11999a2a400
124b2884007
1327a89710b
14161bcccab
15c64a38bd
hex7e7e6307

2122212103 has 24 divisors (see below), whose sum is σ = 2406104064. Its totient is φ = 1869386640.

The previous prime is 2122212091. The next prime is 2122212133. The reversal of 2122212103 is 3012122212.

It is a happy number.

It is not a de Polignac number, because 2122212103 - 221 = 2120114951 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122212133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583950 + ... + 587572.

It is an arithmetic number, because the mean of its divisors is an integer number (100254336).

Almost surely, 22122212103 is an apocalyptic number.

2122212103 is a deficient number, since it is larger than the sum of its proper divisors (283891961).

2122212103 is a wasteful number, since it uses less digits than its factorization.

2122212103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2122212103 is about 46067.4733733032. The cubic root of 2122212103 is about 1285.0783164731.

Adding to 2122212103 its reverse (3012122212), we get a palindrome (5134334315).

The spelling of 2122212103 in words is "two billion, one hundred twenty-two million, two hundred twelve thousand, one hundred three".

Divisors: 1 11 47 103 121 517 1133 3623 4841 5687 12463 39853 53251 170281 373169 438383 585761 1873091 4104859 17538943 20604001 45153449 192928373 2122212103