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20382440381 is a prime number
BaseRepresentation
bin10010111110111000…
…110101101110111101
31221121111011020211022
4102332320311232331
5313220401043011
613210310233525
71321044612302
oct227670655675
957544136738
1020382440381
11870a3a1156
123b4a0558a5
131bca9ab814
14db4dd90a9
157e46118db
hex4bee35bbd

20382440381 has 2 divisors, whose sum is σ = 20382440382. Its totient is φ = 20382440380.

The previous prime is 20382440333. The next prime is 20382440383. The reversal of 20382440381 is 18304428302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16839214756 + 3543225625 = 129766^2 + 59525^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20382440381 is a prime.

It is a super-2 number, since 2×203824403812 (a number of 21 digits) contains 22 as substring.

Together with 20382440383, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20382440383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10191220190 + 10191220191.

It is an arithmetic number, because the mean of its divisors is an integer number (10191220191).

Almost surely, 220382440381 is an apocalyptic number.

It is an amenable number.

20382440381 is a deficient number, since it is larger than the sum of its proper divisors (1).

20382440381 is an equidigital number, since it uses as much as digits as its factorization.

20382440381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 20382440381 its reverse (18304428302), we get a palindrome (38686868683).

The spelling of 20382440381 in words is "twenty billion, three hundred eighty-two million, four hundred forty thousand, three hundred eighty-one".