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2131211113 is a prime number
BaseRepresentation
bin111111100000111…
…1011001101101001
312111112020202000221
41333001323031221
513331042223423
6551251130041
7103545665323
oct17701731551
95445222027
102131211113
119a40164a9
124b58a3921
1327c6c8185
14163092613
15c717ee5d
hex7f07b369

2131211113 has 2 divisors, whose sum is σ = 2131211114. Its totient is φ = 2131211112.

The previous prime is 2131211111. The next prime is 2131211161. The reversal of 2131211113 is 3111121312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1851753024 + 279458089 = 43032^2 + 16717^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131211113 - 21 = 2131211111 is a prime.

Together with 2131211111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2131211111) 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 as a sum of consecutive naturals, namely, 1065605556 + 1065605557.

It is an arithmetic number, because the mean of its divisors is an integer number (1065605557).

Almost surely, 22131211113 is an apocalyptic number.

It is an amenable number.

2131211113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131211113 is an equidigital number, since it uses as much as digits as its factorization.

2131211113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36, while the sum is 16.

The square root of 2131211113 is about 46165.0421098043. The cubic root of 2131211113 is about 1286.8921667627.

Adding to 2131211113 its reverse (3111121312), we get a palindrome (5242332425).

The spelling of 2131211113 in words is "two billion, one hundred thirty-one million, two hundred eleven thousand, one hundred thirteen".