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3111222221113 = 73137311091113
BaseRepresentation
bin101101010001100011010…
…010111001100100111001
3102000102121102111111222211
4231101203102321210321
5401433240342033423
610341135321415121
7440530662352306
oct55214322714471
912012542444884
103111222221113
11a9a50991a686
12422b8603a4a1
13197505301666
14aa8265520ad
1555de3cb610d
hex2d4634b9939

3111222221113 has 8 divisors (see below), whose sum is σ = 3176862456168. Its totient is φ = 3046204168704.

The previous prime is 3111222221033. The next prime is 3111222221153.

It is a happy number.

3111222221113 is nontrivially palindromic in base 10.

3111222221113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 623637145849 + 2487585075264 = 789707^2 + 1577208^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3111222221113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3111222221153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155535556 + ... + 155555557.

It is an arithmetic number, because the mean of its divisors is an integer number (397107807021).

Almost surely, 23111222221113 is an apocalyptic number.

It is an amenable number.

3111222221113 is a deficient number, since it is larger than the sum of its proper divisors (65640235055).

3111222221113 is a wasteful number, since it uses less digits than its factorization.

3111222221113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311091323.

The product of its digits is 288, while the sum is 22.

Multiplying 3111222221113 by its sum of digits (22), we get a palindrome (68446888864486).

The spelling of 3111222221113 in words is "three trillion, one hundred eleven billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 73 137 10001 311091113 22709651249 42619482481 3111222221113