Search a number
-
+
13314111312 = 243277377319
BaseRepresentation
bin11000110011001010…
…10011011101010000
31021100212211221011210
430121211103131100
5204231403030222
610041051340120
7650636036025
oct143145233520
937325757153
1013314111312
115712517987
1226b6a51640
1313424a0798
1490437354c
1552dcebd0c
hex319953750

13314111312 has 20 divisors (see below), whose sum is σ = 34394787680. Its totient is φ = 4438037088.

The previous prime is 13314111271. The next prime is 13314111331. The reversal of 13314111312 is 21311141331.

It is a super-2 number, since 2×133141113122 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138688612 + ... + 138688707.

It is an arithmetic number, because the mean of its divisors is an integer number (1719739384).

Almost surely, 213314111312 is an apocalyptic number.

13314111312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13314111312 is an abundant number, since it is smaller than the sum of its proper divisors (21080676368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13314111312 is a wasteful number, since it uses less digits than its factorization.

13314111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277377330 (or 277377324 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Adding to 13314111312 its reverse (21311141331), we get a palindrome (34625252643).

It can be divided in two parts, 133141 and 11312, that added together give a triangular number (144453 = T537).

The spelling of 13314111312 in words is "thirteen billion, three hundred fourteen million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 277377319 554754638 832131957 1109509276 1664263914 2219018552 3328527828 4438037104 6657055656 13314111312