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7820421341 is a prime number
BaseRepresentation
bin1110100100010001…
…00010100011011101
3202012000111120021212
413102020202203131
5112004011440331
63332002434205
7364540325135
oct72210424335
922160446255
107820421341
113353473337
121623062965
13978288c65
145428bdac5
1530b876d2b
hex1d22228dd

7820421341 has 2 divisors, whose sum is σ = 7820421342. Its totient is φ = 7820421340.

The previous prime is 7820421331. The next prime is 7820421347. The reversal of 7820421341 is 1431240287.

7820421341 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7805015716 + 15405625 = 88346^2 + 3925^2 .

It is a cyclic number.

It is not a de Polignac number, because 7820421341 - 226 = 7753312477 is a prime.

It is a super-2 number, since 2×78204213412 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7820421298 and 7820421307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7820421347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3910210670 + 3910210671.

It is an arithmetic number, because the mean of its divisors is an integer number (3910210671).

Almost surely, 27820421341 is an apocalyptic number.

It is an amenable number.

7820421341 is a deficient number, since it is larger than the sum of its proper divisors (1).

7820421341 is an equidigital number, since it uses as much as digits as its factorization.

7820421341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 7820421341 is about 88433.1461670340. The cubic root of 7820421341 is about 1984.9217201649.

The spelling of 7820421341 in words is "seven billion, eight hundred twenty million, four hundred twenty-one thousand, three hundred forty-one".