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12144202110 = 232517291911433
BaseRepresentation
bin10110100111101100…
…11101000101111110
31011100100110101110100
423103312131011332
5144332403431420
65325020221530
7606642005025
oct132366350576
934310411410
1012144202110
1151720a3877
12242b09a8a6
1311b6cb3711
14832c378bc
154b1257190
hex2d3d9d17e

12144202110 has 192 divisors, whose sum is σ = 34790446080. Its totient is φ = 2925404160.

The previous prime is 12144202097. The next prime is 12144202121. The reversal of 12144202110 is 1120244121.

12144202110 is a `hidden beast` number, since 1 + 214 + 420 + 21 + 10 = 666.

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

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, 8473954 + ... + 8475386.

It is an arithmetic number, because the mean of its divisors is an integer number (181200240).

Almost surely, 212144202110 is an apocalyptic number.

12144202110 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 12144202110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17395223040).

12144202110 is an abundant number, since it is smaller than the sum of its proper divisors (22646243970).

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

12144202110 is a wasteful number, since it uses less digits than its factorization.

12144202110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12144202110 its reverse (1120244121), we get a palindrome (13264446231).

The spelling of 12144202110 in words is "twelve billion, one hundred forty-four million, two hundred two thousand, one hundred ten".