Search a number
-
+
12011013010314 = 232743898086811
BaseRepresentation
bin1010111011001000100000…
…1010011111001110001010
31120112020112010222222211100
42232302020022133032022
53033242023312312224
641313441101042230
72346524046033213
oct256621012371612
946466463888740
1012011013010314
11391092979951a
12141b993b56376
13691831221036
142d749c4b840a
1515c679bceac9
hexaec8829f38a

12011013010314 has 24 divisors (see below), whose sum is σ = 26058886936992. Its totient is φ = 3998282478120.

The previous prime is 12011013010313. The next prime is 12011013010319. The reversal of 12011013010314 is 41301031011021.

It is a happy number.

12011013010314 is a `hidden beast` number, since 1 + 201 + 10 + 130 + 10 + 314 = 666.

It is a super-3 number, since 3×120110130103143 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12011013010313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 449030032 + ... + 449056779.

It is an arithmetic number, because the mean of its divisors is an integer number (1085786955708).

Almost surely, 212011013010314 is an apocalyptic number.

12011013010314 is an abundant number, since it is smaller than the sum of its proper divisors (14047873926678).

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

12011013010314 is a wasteful number, since it uses less digits than its factorization.

12011013010314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898087562 (or 898087559 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12011013010314 its reverse (41301031011021), we get a palindrome (53312044021335).

The spelling of 12011013010314 in words is "twelve trillion, eleven billion, thirteen million, ten thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 743 1486 2229 4458 6687 13374 898086811 1796173622 2694260433 5388520866 8082781299 16165562598 667278500573 1334557001146 2001835501719 4003671003438 6005506505157 12011013010314