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13853785821209 is a prime number
BaseRepresentation
bin1100100110011001010111…
…1110111001000000011001
31211001102001011011002021022
43021212111332321000121
53303440023132234314
645244201421452225
72626621504342655
oct311462576710031
954042034132238
1013853785821209
1144613a2a23aa4
121678b58a11075
13796538b162a9
1435c7537dba65
1519057e88878e
hexc9995fb9019

13853785821209 has 2 divisors, whose sum is σ = 13853785821210. Its totient is φ = 13853785821208.

The previous prime is 13853785821179. The next prime is 13853785821263. The reversal of 13853785821209 is 90212858735831.

13853785821209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11060759395984 + 2793026425225 = 3325772^2 + 1671235^2 .

It is a cyclic number.

It is not a de Polignac number, because 13853785821209 - 240 = 12754274193433 is a prime.

It is not a weakly prime, because it can be changed into another prime (13853785821809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6926892910604 + 6926892910605.

It is an arithmetic number, because the mean of its divisors is an integer number (6926892910605).

Almost surely, 213853785821209 is an apocalyptic number.

It is an amenable number.

13853785821209 is a deficient number, since it is larger than the sum of its proper divisors (1).

13853785821209 is an equidigital number, since it uses as much as digits as its factorization.

13853785821209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 29030400, while the sum is 62.

The spelling of 13853785821209 in words is "thirteen trillion, eight hundred fifty-three billion, seven hundred eighty-five million, eight hundred twenty-one thousand, two hundred nine".