Search a number
-
+
949248000221 is a prime number
BaseRepresentation
bin11011101000000111001…
…01110000000011011101
310100202011201120201002112
431310003211300003131
5111023024442001341
62004024543003405
7125403151605053
oct15640345600335
93322151521075
10949248000221
11336634827324
12133b79299565
136b68a7b1041
1433d2dcc41d3
1519a5ad7baeb
hexdd039700dd

949248000221 has 2 divisors, whose sum is σ = 949248000222. Its totient is φ = 949248000220.

The previous prime is 949248000191. The next prime is 949248000257. The reversal of 949248000221 is 122000842949.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 864176611321 + 85071388900 = 929611^2 + 291670^2 .

It is an emirp because it is prime and its reverse (122000842949) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 949248000221 - 26 = 949248000157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (949248002221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 474624000110 + 474624000111.

It is an arithmetic number, because the mean of its divisors is an integer number (474624000111).

Almost surely, 2949248000221 is an apocalyptic number.

It is an amenable number.

949248000221 is a deficient number, since it is larger than the sum of its proper divisors (1).

949248000221 is an equidigital number, since it uses as much as digits as its factorization.

949248000221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 949248000221 in words is "nine hundred forty-nine billion, two hundred forty-eight million, two hundred twenty-one", and thus it is an aban number.