Search a number
-
+
13221313331 = 43136918311
BaseRepresentation
bin11000101000000110…
…10011101100110011
31021010102020022021112
430110003103230303
5204034124011311
610023534343535
7645431211002
oct142403235463
937112208245
1013221313331
1156750a5436
12268b95abab
1313291ac135
148d5cd8c39
15525abb28b
hex3140d3b33

13221313331 has 8 divisors (see below), whose sum is σ = 13257174528. Its totient is φ = 13185477000.

The previous prime is 13221313279. The next prime is 13221313361. The reversal of 13221313331 is 13331312231.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13221313331 - 230 = 12147571507 is a prime.

It is a super-3 number, since 3×132213133313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13221313297 and 13221313306.

It is not an unprimeable number, because it can be changed into a prime (13221313361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1586666 + ... + 1594976.

It is an arithmetic number, because the mean of its divisors is an integer number (1657146816).

Almost surely, 213221313331 is an apocalyptic number.

13221313331 is a deficient number, since it is larger than the sum of its proper divisors (35861197).

13221313331 is an equidigital number, since it uses as much as digits as its factorization.

13221313331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12433.

The product of its digits is 972, while the sum is 23.

Adding to 13221313331 its reverse (13331312231), we get a palindrome (26552625562).

The spelling of 13221313331 in words is "thirteen billion, two hundred twenty-one million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 431 3691 8311 1590821 3582041 30675901 13221313331