Search a number
-
+
47999221201 is a prime number
BaseRepresentation
bin101100101100111110…
…011111110111010001
311120220011000002002101
4230230332133313101
51241300300034301
634014525520401
73316315435261
oct545476376721
9146804002071
1047999221201
11193a1344358
129376a13101
1346ac3b2049
142474b117a1
1513addcb701
hexb2cf9fdd1

47999221201 has 2 divisors, whose sum is σ = 47999221202. Its totient is φ = 47999221200.

The previous prime is 47999221177. The next prime is 47999221247. The reversal of 47999221201 is 10212299974.

It is an a-pointer prime, because the next prime (47999221247) can be obtained adding 47999221201 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 46948488976 + 1050732225 = 216676^2 + 32415^2 .

It is a cyclic number.

It is not a de Polignac number, because 47999221201 - 25 = 47999221169 is a prime.

It is not a weakly prime, because it can be changed into another prime (47999221001) 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, 23999610600 + 23999610601.

It is an arithmetic number, because the mean of its divisors is an integer number (23999610601).

Almost surely, 247999221201 is an apocalyptic number.

It is an amenable number.

47999221201 is a deficient number, since it is larger than the sum of its proper divisors (1).

47999221201 is an equidigital number, since it uses as much as digits as its factorization.

47999221201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 47999221201 in words is "forty-seven billion, nine hundred ninety-nine million, two hundred twenty-one thousand, two hundred one".