Search a number
-
+
12144130303110 = 23513231471643989
BaseRepresentation
bin1011000010111000011010…
…0100101010010010000110
31120222222010022200010020220
42300232012210222102012
53042432134324144420
641454534134405210
72362245604250601
oct260560644522206
946888108603226
1012144130303110
113962329a60893
121441744800806
136a1256b96a00
142ddac999d338
15160d6b555840
hexb0b8692a486

12144130303110 has 192 divisors, whose sum is σ = 33271622000640. Its totient is φ = 2831341893120.

The previous prime is 12144130303093. The next prime is 12144130303121. The reversal of 12144130303110 is 1130303144121.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6564996 + ... + 8208984.

It is an arithmetic number, because the mean of its divisors is an integer number (173289697920).

Almost surely, 212144130303110 is an apocalyptic number.

12144130303110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12144130303110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16635811000320).

12144130303110 is an abundant number, since it is smaller than the sum of its proper divisors (21127491697530).

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

12144130303110 is a wasteful number, since it uses less digits than its factorization.

12144130303110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644103 (or 1644090 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12144130303110 its reverse (1130303144121), we get a palindrome (13274433447231).

The spelling of 12144130303110 in words is "twelve trillion, one hundred forty-four billion, one hundred thirty million, three hundred three thousand, one hundred ten".