Search a number
-
+
12144143130 = 235775177003
BaseRepresentation
bin10110100111101100…
…01110101100011010
31011100100100101112220
423103312032230122
5144332400040010
65325015044510
7606641341050
oct132366165432
934310311486
1012144143130
115172063529
12242b070736
1311b6c92912
14832c201d0
154b1244970
hex2d3d8eb1a

12144143130 has 64 divisors (see below), whose sum is σ = 33354436608. Its totient is φ = 2772072000.

The previous prime is 12144143117. The next prime is 12144143177. The reversal of 12144143130 is 3134144121.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12144143130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119209 + ... + 196211.

It is an arithmetic number, because the mean of its divisors is an integer number (521163072).

Almost surely, 212144143130 is an apocalyptic number.

12144143130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12144143130 is an abundant number, since it is smaller than the sum of its proper divisors (21210293478).

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

12144143130 is a wasteful number, since it uses less digits than its factorization.

12144143130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77771.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12144143130 its reverse (3134144121), we get a palindrome (15278287251).

Subtracting from 12144143130 its reverse (3134144121), we obtain a palindrome (9009999009).

The spelling of 12144143130 in words is "twelve billion, one hundred forty-four million, one hundred forty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 751 1502 2253 3755 4506 5257 7510 10514 11265 15771 22530 26285 31542 52570 77003 78855 154006 157710 231009 385015 462018 539021 770030 1078042 1155045 1617063 2310090 2695105 3234126 5390210 8085315 16170630 57829253 115658506 173487759 289146265 346975518 404804771 578292530 809609542 867438795 1214414313 1734877590 2024023855 2428828626 4048047710 6072071565 12144143130