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2000222113 is a prime number
BaseRepresentation
bin111011100111000…
…1111011110100001
312011101202210220111
41313032033132201
513044024101423
6530251411321
7100365415231
oct16716173641
95141683814
102000222113
1193708952a
12479a53b41
1325b5244a6
1414d915cc1
15ba90860d
hex7738f7a1

2000222113 has 2 divisors, whose sum is σ = 2000222114. Its totient is φ = 2000222112.

The previous prime is 2000222089. The next prime is 2000222137. The reversal of 2000222113 is 3112220002.

It is a balanced prime because it is at equal distance from previous prime (2000222089) and next prime (2000222137).

It can be written as a sum of positive squares in only one way, i.e., 1824314944 + 175907169 = 42712^2 + 13263^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2000222113 is a prime.

It is a super-3 number, since 3×20002221133 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2000222093 and 2000222102.

It is not a weakly prime, because it can be changed into another prime (2000222813) 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, 1000111056 + 1000111057.

It is an arithmetic number, because the mean of its divisors is an integer number (1000111057).

Almost surely, 22000222113 is an apocalyptic number.

It is an amenable number.

2000222113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000222113 is an equidigital number, since it uses as much as digits as its factorization.

2000222113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2000222113 is about 44723.8427798864. The cubic root of 2000222113 is about 1259.9676889758.

Adding to 2000222113 its reverse (3112220002), we get a palindrome (5112442115).

The spelling of 2000222113 in words is "two billion, two hundred twenty-two thousand, one hundred thirteen".