Search a number
-
+
13442111331 = 3113471173881
BaseRepresentation
bin11001000010011011…
…00101011101100011
31021200210201000012020
430201031211131203
5210012140030311
610101503032523
7654052026645
oct144115453543
937623630166
1013442111331
1157787a3220
12273189b743
131362b68b3c
14917372895
1553a182c06
hex321365763

13442111331 has 16 divisors (see below), whose sum is σ = 19608524928. Its totient is φ = 8123249600.

The previous prime is 13442111269. The next prime is 13442111339. The reversal of 13442111331 is 13311124431.

It is a happy number.

13442111331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13442111331 - 29 = 13442110819 is a prime.

It is a super-2 number, since 2×134421113312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13442111339) 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 15 ways as a sum of consecutive naturals, for example, 575490 + ... + 598391.

It is an arithmetic number, because the mean of its divisors is an integer number (1225532808).

Almost surely, 213442111331 is an apocalyptic number.

13442111331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13442111331 is a deficient number, since it is larger than the sum of its proper divisors (6166413597).

13442111331 is a wasteful number, since it uses less digits than its factorization.

13442111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174242.

The product of its digits is 864, while the sum is 24.

Adding to 13442111331 its reverse (13311124431), we get a palindrome (26753235762).

The spelling of 13442111331 in words is "thirteen billion, four hundred forty-two million, one hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 11 33 347 1041 3817 11451 1173881 3521643 12912691 38738073 407336707 1222010121 4480703777 13442111331