Search a number
-
+
21003313321093 is a prime number
BaseRepresentation
bin1001100011010001101110…
…00001111001010010000101
32202100220020000111002012211
410301220313001321102011
510223104241202233333
6112400442224343421
74265303453364115
oct461506701712205
982326200432184
1021003313321093
1167685008a6124
1224326bb174b71
13b947b0b46cac
145287cc74b045
15266527431ecd
hex131a37079485

21003313321093 has 2 divisors, whose sum is σ = 21003313321094. Its totient is φ = 21003313321092.

The previous prime is 21003313321073. The next prime is 21003313321171. The reversal of 21003313321093 is 39012331330012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11910664099489 + 9092649221604 = 3451183^2 + 3015402^2 .

It is a cyclic number.

It is not a de Polignac number, because 21003313321093 - 25 = 21003313321061 is a prime.

It is a super-2 number, since 2×210033133210932 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21003313321073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10501656660546 + 10501656660547.

It is an arithmetic number, because the mean of its divisors is an integer number (10501656660547).

Almost surely, 221003313321093 is an apocalyptic number.

It is an amenable number.

21003313321093 is a deficient number, since it is larger than the sum of its proper divisors (1).

21003313321093 is an equidigital number, since it uses as much as digits as its factorization.

21003313321093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 31.

The spelling of 21003313321093 in words is "twenty-one trillion, three billion, three hundred thirteen million, three hundred twenty-one thousand, ninety-three".