Search a number
-
+
10014012304131 = 311659516789119
BaseRepresentation
bin1001000110111001000110…
…1001010110101100000011
31022110022220201212001111110
42101232101221112230003
52303032144122213011
633144212421214403
72052326363100033
oct221562151265403
938408821761443
1010014012304131
113210a11976560
121158948561403
13578418184944
142689760c98c3
1512574a1a6ba6
hex91b91a56b03

10014012304131 has 32 divisors (see below), whose sum is σ = 14590926028800. Its totient is φ = 6058648018080.

The previous prime is 10014012304111. The next prime is 10014012304147. The reversal of 10014012304131 is 13140321041001.

It is not a de Polignac number, because 10014012304131 - 223 = 10014003915523 is a prime.

It is a super-2 number, since 2×100140123041312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10014012304098 and 10014012304107.

It is not an unprimeable number, because it can be changed into a prime (10014012304111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112322190 + ... + 112411308.

It is an arithmetic number, because the mean of its divisors is an integer number (455966438400).

Almost surely, 210014012304131 is an apocalyptic number.

10014012304131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10014012304131 is a deficient number, since it is larger than the sum of its proper divisors (4576913724669).

10014012304131 is a wasteful number, since it uses less digits than its factorization.

10014012304131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94959.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10014012304131 its reverse (13140321041001), we get a palindrome (23154333345132).

The spelling of 10014012304131 in words is "ten trillion, fourteen billion, twelve million, three hundred four thousand, one hundred thirty-one".

Divisors: 1 3 11 33 659 1977 5167 7249 15501 21747 56837 89119 170511 267357 980309 2940927 3405053 10215159 37455583 58729421 112366749 176188263 460477873 646023631 1381433619 1938070893 5065256603 15195769809 303454918307 910364754921 3338004101377 10014012304131