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2122111313 = 71318532713
BaseRepresentation
bin111111001111100…
…1101100101010001
312110220010102110022
41332133031211101
513321230030223
6550324113225
7103405435310
oct17637154521
95426112408
102122111313
11999970703
124b2835815
1327a86028a
14161ba4277
15c6483ac8
hex7e7cd951

2122111313 has 16 divisors (see below), whose sum is σ = 2447550336. Its totient is φ = 1802286720.

The previous prime is 2122111297. The next prime is 2122111319. The reversal of 2122111313 is 3131112212.

It is a cyclic number.

It is not a de Polignac number, because 2122111313 - 24 = 2122111297 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2122111291 and 2122111300.

It is not an unprimeable number, because it can be changed into a prime (2122111319) 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 15 ways as a sum of consecutive naturals, for example, 780845 + ... + 783557.

It is an arithmetic number, because the mean of its divisors is an integer number (152971896).

Almost surely, 22122111313 is an apocalyptic number.

It is an amenable number.

2122111313 is a deficient number, since it is larger than the sum of its proper divisors (325439023).

2122111313 is a wasteful number, since it uses less digits than its factorization.

2122111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704.

The product of its digits is 72, while the sum is 17.

The square root of 2122111313 is about 46066.3794214392. The cubic root of 2122111313 is about 1285.0579721205.

Adding to 2122111313 its reverse (3131112212), we get a palindrome (5253223525).

The spelling of 2122111313 in words is "two billion, one hundred twenty-two million, one hundred eleven thousand, three hundred thirteen".

Divisors: 1 7 131 853 917 2713 5971 18991 111743 355403 782201 2314189 2487821 16199323 303158759 2122111313