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3122110112213 is a prime number
BaseRepresentation
bin101101011011101100010…
…000111010000111010101
3102001110201012222200201202
4231123230100322013111
5402123040142042323
610350135543002245
7441364541041121
oct55335420720725
912043635880652
103122110112213
11aa4096846394
12425104439385
1319854bc35a81
14ab17a59c581
155632eaacd28
hex2d6ec43a1d5

3122110112213 has 2 divisors, whose sum is σ = 3122110112214. Its totient is φ = 3122110112212.

The previous prime is 3122110112201. The next prime is 3122110112243.

3122110112213 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2002403293969 + 1119706818244 = 1415063^2 + 1058162^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 3122110112213 - 210 = 3122110111189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3122110112243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561055056106 + 1561055056107.

It is an arithmetic number, because the mean of its divisors is an integer number (1561055056107).

Almost surely, 23122110112213 is an apocalyptic number.

It is an amenable number.

3122110112213 is a deficient number, since it is larger than the sum of its proper divisors (1).

3122110112213 is an equidigital number, since it uses as much as digits as its factorization.

3122110112213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 3122110 and 112213, that added together give a palindrome (3234323).

The spelling of 3122110112213 in words is "three trillion, one hundred twenty-two billion, one hundred ten million, one hundred twelve thousand, two hundred thirteen".