Search a number
-
+
2111111405 = 513293730269
BaseRepresentation
bin111110111010101…
…0000000011101101
312110010102120102022
41331311100003231
513310421031110
6545252235525
7103213102514
oct17565200355
95403376368
102111111405
11993738277
124ab00bba5
132784ab560
1416053d67b
15c550e755
hex7dd500ed

2111111405 has 32 divisors (see below), whose sum is σ = 2898655200. Its totient is φ = 1464486912.

The previous prime is 2111111399. The next prime is 2111111411. The reversal of 2111111405 is 5041111112.

It is an interprime number because it is at equal distance from previous prime (2111111399) and next prime (2111111411).

It can be written as a sum of positive squares in 16 ways, for example, as 120077764 + 1991033641 = 10958^2 + 44621^2 .

It is a cyclic number.

It is not a de Polignac number, because 2111111405 - 210 = 2111110381 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54611 + ... + 84879.

It is an arithmetic number, because the mean of its divisors is an integer number (90582975).

Almost surely, 22111111405 is an apocalyptic number.

It is an amenable number.

2111111405 is a deficient number, since it is larger than the sum of its proper divisors (787543795).

2111111405 is a wasteful number, since it uses less digits than its factorization.

2111111405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30353.

The product of its (nonzero) digits is 40, while the sum is 17.

The square root of 2111111405 is about 45946.8323717751. The cubic root of 2111111405 is about 1282.8337699536.

Adding to 2111111405 its reverse (5041111112), we get a palindrome (7152222517).

The spelling of 2111111405 in words is "two billion, one hundred eleven million, one hundred eleven thousand, four hundred five".

Divisors: 1 5 13 29 37 65 145 185 377 481 1073 1885 2405 5365 13949 30269 69745 151345 393497 877801 1119953 1967485 4389005 5599765 11411413 14559389 32478637 57057065 72796945 162393185 422222281 2111111405