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2212414331 is a prime number
BaseRepresentation
bin1000001111011110…
…1100001101111011
312201012001021220112
42003313230031323
514012334224311
61003311414535
7105553132361
oct20367541573
95635037815
102212414331
11a359396a6
12518b2444b
1329348a10a
1416db8d631
15ce37028b
hex83dec37b

2212414331 has 2 divisors, whose sum is σ = 2212414332. Its totient is φ = 2212414330.

The previous prime is 2212414319. The next prime is 2212414333. The reversal of 2212414331 is 1334142122.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2212414331 - 226 = 2145305467 is a prime.

It is a super-2 number, since 2×22124143312 = 9789554344028355122, which contains 22 as substring.

Together with 2212414333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2212414297 and 2212414306.

It is not a weakly prime, because it can be changed into another prime (2212414333) 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, 1106207165 + 1106207166.

It is an arithmetic number, because the mean of its divisors is an integer number (1106207166).

Almost surely, 22212414331 is an apocalyptic number.

2212414331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212414331 is an equidigital number, since it uses as much as digits as its factorization.

2212414331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 23.

The square root of 2212414331 is about 47036.3086455559. The cubic root of 2212414331 is about 1303.0332192228.

Adding to 2212414331 its reverse (1334142122), we get a palindrome (3546556453).

The spelling of 2212414331 in words is "two billion, two hundred twelve million, four hundred fourteen thousand, three hundred thirty-one".