Search a number
-
+
2120211311 = 19415389577
BaseRepresentation
bin111111001011111…
…1101101101101111
312110202112220010212
41332113331231233
513320233230221
6550215253035
7103353333041
oct17627755557
95422486125
102120211311
11998893159
124b207a17b
1327a34650a
1416182ba91
15c620ab5b
hex7e5fdb6f

2120211311 has 32 divisors (see below), whose sum is σ = 2359627200. Its totient is φ = 1897758720.

The previous prime is 2120211283. The next prime is 2120211329. The reversal of 2120211311 is 1131120212.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2120211311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120211011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3674255 + ... + 3674831.

It is an arithmetic number, because the mean of its divisors is an integer number (73738350).

Almost surely, 22120211311 is an apocalyptic number.

2120211311 is a deficient number, since it is larger than the sum of its proper divisors (239415889).

2120211311 is a wasteful number, since it uses less digits than its factorization.

2120211311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 2120211311 is about 46045.7523665321. The cubic root of 2120211311 is about 1284.6743381813.

Adding to 2120211311 its reverse (1131120212), we get a palindrome (3251331523).

The spelling of 2120211311 in words is "two billion, one hundred twenty million, two hundred eleven thousand, three hundred eleven".

Divisors: 1 19 41 53 89 577 779 1007 1691 2173 3649 4717 10963 23657 30581 41287 51353 69331 89623 193397 449483 581039 975707 1253821 2105473 2721709 3674543 23822599 40003987 51712471 111590069 2120211311