Search a number
-
+
12310100132201 is a prime number
BaseRepresentation
bin1011001100100010101100…
…1001010100000101101001
31121120211112001012000012222
42303020223021110011221
53103142041113212301
642103103144043425
72410242520442414
oct263105311240551
947524461160188
1012310100132201
113a167586679a3
121469943763575
136b3ab6b97681
14307b522aab7b
1516533216b31b
hexb322b254169

12310100132201 has 2 divisors, whose sum is σ = 12310100132202. Its totient is φ = 12310100132200.

The previous prime is 12310100132159. The next prime is 12310100132207. The reversal of 12310100132201 is 10223100101321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10134035560000 + 2176064572201 = 3183400^2 + 1475149^2 .

It is a cyclic number.

It is not a de Polignac number, because 12310100132201 - 242 = 7912053621097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12310100132201.

It is not a weakly prime, because it can be changed into another prime (12310100132207) 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, 6155050066100 + 6155050066101.

It is an arithmetic number, because the mean of its divisors is an integer number (6155050066101).

Almost surely, 212310100132201 is an apocalyptic number.

It is an amenable number.

12310100132201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12310100132201 is an equidigital number, since it uses as much as digits as its factorization.

12310100132201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12310100132201 its reverse (10223100101321), we get a palindrome (22533200233522).

The spelling of 12310100132201 in words is "twelve trillion, three hundred ten billion, one hundred million, one hundred thirty-two thousand, two hundred one".