Search a number
-
+
2122416109 = 11219248589
BaseRepresentation
bin111111010000001…
…0111111111101101
312110220200220120001
41332200113333231
513321314303414
6550334424301
7103411145032
oct17640277755
95426626501
102122416109
1199a059700
124b2962091
1327a938c28
14161c43389
15c64e4074
hex7e817fed

2122416109 has 18 divisors (see below), whose sum is σ = 2462201070. Its totient is φ = 1827880560.

The previous prime is 2122416077. The next prime is 2122416143. The reversal of 2122416109 is 9016142212.

It can be written as a sum of positive squares in only one way, i.e., 1926332100 + 196084009 = 43890^2 + 14003^2 .

It is not a de Polignac number, because 2122416109 - 25 = 2122416077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122416199) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19387 + ... + 67975.

Almost surely, 22122416109 is an apocalyptic number.

It is an amenable number.

2122416109 is a deficient number, since it is larger than the sum of its proper divisors (339784961).

2122416109 is a wasteful number, since it uses less digits than its factorization.

2122416109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48649 (or 48619 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2122416109 is about 46069.6875287862. The cubic root of 2122416109 is about 1285.1194928925.

The spelling of 2122416109 in words is "two billion, one hundred twenty-two million, four hundred sixteen thousand, one hundred nine".

Divisors: 1 11 19 121 209 361 2299 3971 43681 48589 534479 923191 5879269 10155101 17540629 111706111 192946919 2122416109