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12144131000 = 235312144131
BaseRepresentation
bin10110100111101100…
…01011101110111000
31011100100022202220122
423103312023232320
5144332344143000
65325014512412
7606641260511
oct132366135670
934310282818
1012144131000
115172055401
12242b065708
1311b6c8a241
14832c19a08
154b1241085
hex2d3d8bbb8

12144131000 has 32 divisors (see below), whose sum is σ = 28417268880. Its totient is φ = 4857652000.

The previous prime is 12144130987. The next prime is 12144131003. The reversal of 12144131000 is 13144121.

It is a happy number.

It is a super-2 number, since 2×121441310002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12144131000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144131003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6071066 + ... + 6073065.

Almost surely, 212144131000 is an apocalyptic number.

12144131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12144131000 is an abundant number, since it is smaller than the sum of its proper divisors (16273137880).

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

12144131000 is a wasteful number, since it uses less digits than its factorization.

12144131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12144152 (or 12144138 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12144131000 its reverse (13144121), we get a palindrome (12157275121).

The spelling of 12144131000 in words is "twelve billion, one hundred forty-four million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12144131 24288262 48576524 60720655 97153048 121441310 242882620 303603275 485765240 607206550 1214413100 1518016375 2428826200 3036032750 6072065500 12144131000