Search a number
-
+
247319833921 is a prime number
BaseRepresentation
bin1110011001010101101…
…0010010110101000001
3212122101010220022102221
43212111122102311001
513023002334141141
6305341150211041
723603546621326
oct3462532226501
9778333808387
10247319833921
1195984664866
123bb22ab3a81
131a425a2b0c4
14bd828a2b4d
1566778a0bd1
hex3995692d41

247319833921 has 2 divisors, whose sum is σ = 247319833922. Its totient is φ = 247319833920.

The previous prime is 247319833907. The next prime is 247319834029. The reversal of 247319833921 is 129338913742.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 239458529025 + 7861304896 = 489345^2 + 88664^2 .

It is a cyclic number.

It is not a de Polignac number, because 247319833921 - 25 = 247319833889 is a prime.

It is a super-2 number, since 2×2473198339212 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (247319833021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 123659916960 + 123659916961.

It is an arithmetic number, because the mean of its divisors is an integer number (123659916961).

Almost surely, 2247319833921 is an apocalyptic number.

It is an amenable number.

247319833921 is a deficient number, since it is larger than the sum of its proper divisors (1).

247319833921 is an equidigital number, since it uses as much as digits as its factorization.

247319833921 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1959552, while the sum is 52.

The spelling of 247319833921 in words is "two hundred forty-seven billion, three hundred nineteen million, eight hundred thirty-three thousand, nine hundred twenty-one".