Search a number
-
+
11201200210211 = 1119241222382819
BaseRepresentation
bin1010001011111111101110…
…0011110100000100100011
31110122211020220100100200212
42202333323203310010203
52432010024223211321
635453432122204335
72234155116562424
oct242777343640443
943584226310625
1011201200210211
11362944755a880
12130aa4b3536ab
136333652ac28b
142aa1d8bdd64b
151465801ab55b
hexa2ffb8f4123

11201200210211 has 16 divisors (see below), whose sum is σ = 12915994185600. Its totient is φ = 9606937737600.

The previous prime is 11201200210181. The next prime is 11201200210241.

11201200210211 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (11201200210181) and next prime (11201200210241).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11201200210211 is a prime.

It is a super-2 number, since 2×112012002102112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11201200210241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111141041 + ... + 111241778.

It is an arithmetic number, because the mean of its divisors is an integer number (807249636600).

Almost surely, 211201200210211 is an apocalyptic number.

11201200210211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11201200210211 is a deficient number, since it is larger than the sum of its proper divisors (1714793975389).

11201200210211 is a wasteful number, since it uses less digits than its factorization.

11201200210211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222383090.

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 11201200 and 210211, that added together give a palindrome (11411411).

The spelling of 11201200210211 in words is "eleven trillion, two hundred one billion, two hundred million, two hundred ten thousand, two hundred eleven".

Divisors: 1 11 19 209 241 2651 4579 50369 222382819 2446211009 4225273561 46478009171 53594259379 589536853169 1018290928201 11201200210211