Search a number
-
+
13221320167 = 117116928707
BaseRepresentation
bin11000101000000110…
…10101010111100111
31021010102020122122201
430110003111113213
5204034124221132
610023534435331
7645431236636
oct142403252747
937112218581
1013221320167
1156750aa590
12268b962b47
1313291b2293
148d5cdb51d
15525abd2e7
hex3140d55e7

13221320167 has 8 divisors (see below), whose sum is σ = 14626403712. Its totient is φ = 11850094200.

The previous prime is 13221320131. The next prime is 13221320171. The reversal of 13221320167 is 76102312231.

13221320167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13221320167 - 211 = 13221318119 is a prime.

It is a super-3 number, since 3×132213201673 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221320117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8463573 + ... + 8465134.

It is an arithmetic number, because the mean of its divisors is an integer number (1828300464).

Almost surely, 213221320167 is an apocalyptic number.

13221320167 is a deficient number, since it is larger than the sum of its proper divisors (1405083545).

13221320167 is a wasteful number, since it uses less digits than its factorization.

13221320167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16928789.

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 13221320167 its reverse (76102312231), we get a palindrome (89323632398).

The spelling of 13221320167 in words is "thirteen billion, two hundred twenty-one million, three hundred twenty thousand, one hundred sixty-seven".

Divisors: 1 11 71 781 16928707 186215777 1201938197 13221320167