Search a number
-
+
10221310093 is a prime number
BaseRepresentation
bin10011000010011110…
…01101000010001101
3222101100012100111111
421201033031002031
5131413123410333
64410130052021
7511202462611
oct114117150215
928340170444
1010221310093
114375732615
121b9311a011
13c6b7c62a7
146cd6d1341
153ec5264cd
hex2613cd08d

10221310093 has 2 divisors, whose sum is σ = 10221310094. Its totient is φ = 10221310092.

The previous prime is 10221310079. The next prime is 10221310103. The reversal of 10221310093 is 39001312201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5573070409 + 4648239684 = 74653^2 + 68178^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221310093 - 225 = 10187755661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221310003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110655046 + 5110655047.

It is an arithmetic number, because the mean of its divisors is an integer number (5110655047).

Almost surely, 210221310093 is an apocalyptic number.

It is an amenable number.

10221310093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221310093 is an equidigital number, since it uses as much as digits as its factorization.

10221310093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 10221310093 its reverse (39001312201), we get a palindrome (49222622294).

The spelling of 10221310093 in words is "ten billion, two hundred twenty-one million, three hundred ten thousand, ninety-three".