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2122112041 = 72233185873
BaseRepresentation
bin111111001111100…
…1101110000101001
312110220010110110021
41332133031300221
513321230041131
6550324120441
7103405440400
oct17637156051
95426113407
102122112041
11999971205
124b2836121
1327a8606ca
14161ba4637
15c6483e11
hex7e7cdc29

2122112041 has 12 divisors (see below), whose sum is σ = 2479187412. Its totient is φ = 1811136768.

The previous prime is 2122112011. The next prime is 2122112051. The reversal of 2122112041 is 1402112212.

It can be written as a sum of positive squares in 2 ways, for example, as 922944400 + 1199167641 = 30380^2 + 34629^2 .

It is not a de Polignac number, because 2122112041 - 29 = 2122111529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2122112011) 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 11 ways as a sum of consecutive naturals, for example, 81520 + ... + 104353.

It is an arithmetic number, because the mean of its divisors is an integer number (206598951).

Almost surely, 22122112041 is an apocalyptic number.

It is an amenable number.

2122112041 is a deficient number, since it is larger than the sum of its proper divisors (357075371).

2122112041 is a wasteful number, since it uses less digits than its factorization.

2122112041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186120 (or 186113 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2122112041 is about 46066.3873230797. The cubic root of 2122112041 is about 1285.0581190688.

Adding to 2122112041 its reverse (1402112212), we get a palindrome (3524224253).

The spelling of 2122112041 in words is "two billion, one hundred twenty-two million, one hundred twelve thousand, forty-one".

Divisors: 1 7 49 233 1631 11417 185873 1301111 9107777 43308409 303158863 2122112041