Search a number
-
+
2123311311 = 321121447589
BaseRepresentation
bin111111010001111…
…0010100011001111
312110222101101112200
41332203302203033
513322031430221
6550405532543
7103421563662
oct17643624317
95428341480
102123311311
1199a610240
124b3114153
1327ab90534
14161dd76d9
15c661e426
hex7e8f28cf

2123311311 has 12 divisors (see below), whose sum is σ = 3345824040. Its totient is φ = 1286855280.

The previous prime is 2123311291. The next prime is 2123311327. The reversal of 2123311311 is 1131133212.

2123311311 is a `hidden beast` number, since 21 + 2 + 331 + 1 + 311 = 666.

It is not a de Polignac number, because 2123311311 - 26 = 2123311247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123311381) 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, 10723696 + ... + 10723893.

It is an arithmetic number, because the mean of its divisors is an integer number (278818670).

Almost surely, 22123311311 is an apocalyptic number.

2123311311 is a deficient number, since it is larger than the sum of its proper divisors (1222512729).

2123311311 is a wasteful number, since it uses less digits than its factorization.

2123311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21447606 (or 21447603 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 2123311311 is about 46079.4022422166. The cubic root of 2123311311 is about 1285.3001486127.

Adding to 2123311311 its reverse (1131133212), we get a palindrome (3254444523).

It can be divided in two parts, 21 and 23311311, that added together give a palindrome (23311332).

The spelling of 2123311311 in words is "two billion, one hundred twenty-three million, three hundred eleven thousand, three hundred eleven".

Divisors: 1 3 9 11 33 99 21447589 64342767 193028301 235923479 707770437 2123311311