Search a number
-
+
21313321003201 is a prime number
BaseRepresentation
bin1001101100010011001001…
…11011010110100011000001
32210110112101222122000221211
410312021210323112203001
510243144140134100301
6113155112101050121
74326556651245313
oct466114473264301
983415358560854
1021313321003201
116877a24084087
1224827b80b6941
13bb7ab7122896
145397daa517b3
1526e61d4ba051
hex136264ed68c1

21313321003201 has 2 divisors, whose sum is σ = 21313321003202. Its totient is φ = 21313321003200.

The previous prime is 21313321003157. The next prime is 21313321003207. The reversal of 21313321003201 is 10230012331312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21194053690000 + 119267313201 = 4603700^2 + 345351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21313321003201 is a prime.

It is not a weakly prime, because it can be changed into another prime (21313321003207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10656660501600 + 10656660501601.

It is an arithmetic number, because the mean of its divisors is an integer number (10656660501601).

Almost surely, 221313321003201 is an apocalyptic number.

It is an amenable number.

21313321003201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21313321003201 is an equidigital number, since it uses as much as digits as its factorization.

21313321003201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 21313321003201 its reverse (10230012331312), we get a palindrome (31543333334513).

The spelling of 21313321003201 in words is "twenty-one trillion, three hundred thirteen billion, three hundred twenty-one million, three thousand, two hundred one".