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1012431440021 is a prime number
BaseRepresentation
bin11101011101110011001…
…11011100100010010101
310120210021002101000021112
432232321213130202111
5113041424422040041
62053034331224405
7133100665151261
oct16567147344225
93523232330245
101012431440021
11360408176871
121442712a8105
137461992c201
14370054910a1
151b507d0adeb
hexebb99dc895

1012431440021 has 2 divisors, whose sum is σ = 1012431440022. Its totient is φ = 1012431440020.

The previous prime is 1012431439993. The next prime is 1012431440023. The reversal of 1012431440021 is 1200441342101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 818100351121 + 194331088900 = 904489^2 + 440830^2 .

It is an emirp because it is prime and its reverse (1200441342101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1012431440021 is a prime.

Together with 1012431440023, 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 (1012431440023) 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, 506215720010 + 506215720011.

It is an arithmetic number, because the mean of its divisors is an integer number (506215720011).

Almost surely, 21012431440021 is an apocalyptic number.

It is an amenable number.

1012431440021 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012431440021 is an equidigital number, since it uses as much as digits as its factorization.

1012431440021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1012431440021 its reverse (1200441342101), we get a palindrome (2212872782122).

The spelling of 1012431440021 in words is "one trillion, twelve billion, four hundred thirty-one million, four hundred forty thousand, twenty-one".