Search a number
-
+
214353207353 is a prime number
BaseRepresentation
bin1100011110100001110…
…0100110000000111001
3202111021122101011110202
43013220130212000321
512002443410113403
6242250021051545
721325605125405
oct3075034460071
9674248334422
10214353207353
11829a788533a
1235662556bb5
13172a0b6808c
14a53645c105
1558985c6688
hex31e8726039

214353207353 has 2 divisors, whose sum is σ = 214353207354. Its totient is φ = 214353207352.

The previous prime is 214353207317. The next prime is 214353207463. The reversal of 214353207353 is 353702353412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206217708544 + 8135498809 = 454112^2 + 90197^2 .

It is a cyclic number.

It is not a de Polignac number, because 214353207353 - 216 = 214353141817 is a prime.

It is not a weakly prime, because it can be changed into another prime (214353209353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107176603676 + 107176603677.

It is an arithmetic number, because the mean of its divisors is an integer number (107176603677).

Almost surely, 2214353207353 is an apocalyptic number.

It is an amenable number.

214353207353 is a deficient number, since it is larger than the sum of its proper divisors (1).

214353207353 is an equidigital number, since it uses as much as digits as its factorization.

214353207353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 226800, while the sum is 38.

The spelling of 214353207353 in words is "two hundred fourteen billion, three hundred fifty-three million, two hundred seven thousand, three hundred fifty-three".