Search a number
-
+
213202131331001 is a prime number
BaseRepresentation
bin110000011110011111111101…
…010011011010011110111001
31000221212220222002220002211112
4300132133331103122132321
5210421100431110043001
62033235412414010105
762623226365131221
oct6036377523323671
91027786862802745
10213202131331001
1161a29574a7181a
121bab40024a6935
1391c6b4a9a4067
143a91076c11081
15199ad23d50cbb
hexc1e7fd4da7b9

213202131331001 has 2 divisors, whose sum is σ = 213202131331002. Its totient is φ = 213202131331000.

The previous prime is 213202131330971. The next prime is 213202131331009. The reversal of 213202131331001 is 100133131202312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168968671452025 + 44233459878976 = 12998795^2 + 6650824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213202131331001 is a prime.

It is not a weakly prime, because it can be changed into another prime (213202131331009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106601065665500 + 106601065665501.

It is an arithmetic number, because the mean of its divisors is an integer number (106601065665501).

Almost surely, 2213202131331001 is an apocalyptic number.

It is an amenable number.

213202131331001 is a deficient number, since it is larger than the sum of its proper divisors (1).

213202131331001 is an equidigital number, since it uses as much as digits as its factorization.

213202131331001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 213202131331001 its reverse (100133131202312), we get a palindrome (313335262533313).

The spelling of 213202131331001 in words is "two hundred thirteen trillion, two hundred two billion, one hundred thirty-one million, three hundred thirty-one thousand, one".