Search a number
-
+
13105405530294 = 2371122578788967
BaseRepresentation
bin1011111010110101011100…
…0010101001000010110110
31201101212100020121021001220
42332231113002221002312
53204204332303432134
643512312402531210
72521556111001420
oct276552702510266
951355306537056
1013105405530294
1141a2a75845800
121577ab9966b06
13740ab035329c
1433443ad4b810
1517ad7d230149
hexbeb570a90b6

13105405530294 has 48 divisors (see below), whose sum is σ = 32925977543424. Its totient is φ = 3404001435120.

The previous prime is 13105405530247. The next prime is 13105405530311. The reversal of 13105405530294 is 49203550450131.

It is a super-2 number, since 2×131054055302942 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1289389402 + ... + 1289399565.

It is an arithmetic number, because the mean of its divisors is an integer number (685957865488).

Almost surely, 213105405530294 is an apocalyptic number.

13105405530294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13105405530294 is an abundant number, since it is smaller than the sum of its proper divisors (19820572013130).

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

13105405530294 is a wasteful number, since it uses less digits than its factorization.

13105405530294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578789001 (or 2578788990 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 13105405530294 in words is "thirteen trillion, one hundred five billion, four hundred five million, five hundred thirty thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 5082 2578788967 5157577934 7736366901 15472733802 18051522769 28366678637 36103045538 54154568307 56733357274 85100035911 108309136614 170200071822 198566750459 312033465007 397133500918 595700251377 624066930014 936100395021 1191400502754 1872200790042 2184234255049 4368468510098 6552702765147 13105405530294