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20004144004261 is a prime number
BaseRepresentation
bin1001000110001100100111…
…11001011011110010100101
32121211101012012010201211001
410203012103321123302211
510110221441331114021
6110313435450313301
74133152223333644
oct443062371336245
977741165121731
1020004144004261
11641278986884a
1222b0b2b428831
13b214c89b5271
144d22c477935b
1524a548aa4091
hex123193e5bca5

20004144004261 has 2 divisors, whose sum is σ = 20004144004262. Its totient is φ = 20004144004260.

The previous prime is 20004144004231. The next prime is 20004144004279. The reversal of 20004144004261 is 16240044140002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19237829349025 + 766314655236 = 4386095^2 + 875394^2 .

It is a cyclic number.

It is not a de Polignac number, because 20004144004261 - 29 = 20004144003749 is a prime.

It is a super-2 number, since 2×200041440042612 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20004144004211) 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, 10002072002130 + 10002072002131.

It is an arithmetic number, because the mean of its divisors is an integer number (10002072002131).

Almost surely, 220004144004261 is an apocalyptic number.

It is an amenable number.

20004144004261 is a deficient number, since it is larger than the sum of its proper divisors (1).

20004144004261 is an equidigital number, since it uses as much as digits as its factorization.

20004144004261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 20004144004261 its reverse (16240044140002), we get a palindrome (36244188144263).

The spelling of 20004144004261 in words is "twenty trillion, four billion, one hundred forty-four million, four thousand, two hundred sixty-one".