Search a number
-
+
13430122321 = 721194126479
BaseRepresentation
bin11001000000111111…
…10110011101010001
31021122222010220100211
430200133312131101
5210001102403241
610100354044121
7653545104400
oct144037663521
937588126324
1013430122321
115771a54750
122729879641
13136052bb55
14915931637
155390b5781
hex3207f6751

13430122321 has 24 divisors (see below), whose sum is σ = 17061805440. Its totient is φ = 10453514400.

The previous prime is 13430122313. The next prime is 13430122421. The reversal of 13430122321 is 12322103431.

It is not a de Polignac number, because 13430122321 - 23 = 13430122313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13430122292 and 13430122301.

It is not an unprimeable number, because it can be changed into a prime (13430122021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493960 + ... + 520438.

It is an arithmetic number, because the mean of its divisors is an integer number (710908560).

Almost surely, 213430122321 is an apocalyptic number.

13430122321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13430122321 is a deficient number, since it is larger than the sum of its proper divisors (3631683119).

13430122321 is a wasteful number, since it uses less digits than its factorization.

13430122321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27445 (or 27438 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13430122321 its reverse (12322103431), we get a palindrome (25752225752).

The spelling of 13430122321 in words is "thirteen billion, four hundred thirty million, one hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 7 11 49 77 539 941 6587 10351 26479 46109 72457 185353 291269 507199 1297471 2038883 14272181 24916739 174417173 274084129 1220920211 1918588903 13430122321