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12144320313132 = 2237791811825883
BaseRepresentation
bin1011000010111001000111…
…1001011111011100101100
31120222222121120012122000010
42300232101321133130230
53042433032000010012
641455005043133220
72362253402306640
oct260562171373454
946888546178003
1012144320313132
113962417240167
121441798374210
136a1287363b87
142ddb06d00c20
15160d7d089c3c
hexb0b91e5f72c

12144320313132 has 48 divisors (see below), whose sum is σ = 32385280902912. Its totient is φ = 3469760082240.

The previous prime is 12144320313121. The next prime is 12144320313161. The reversal of 12144320313132 is 23131302344121.

It is a self number, because there is not a number n which added to its sum of digits gives 12144320313132.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5738263 + ... + 7564145.

It is an arithmetic number, because the mean of its divisors is an integer number (674693352144).

Almost surely, 212144320313132 is an apocalyptic number.

12144320313132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12144320313132 is an abundant number, since it is smaller than the sum of its proper divisors (20240960589780).

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

12144320313132 is a wasteful number, since it uses less digits than its factorization.

12144320313132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905078 (or 1905076 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 12144320313132 its reverse (23131302344121), we get a palindrome (35275622657253).

The spelling of 12144320313132 in words is "twelve trillion, one hundred forty-four billion, three hundred twenty million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 79181 158362 237543 316724 475086 554267 950172 1108534 1662801 1825883 2217068 3325602 3651766 5477649 6651204 7303532 10955298 12781181 21910596 25562362 38343543 51124724 76687086 153374172 144575241823 289150483646 433725725469 578300967292 867451450938 1012026692761 1734902901876 2024053385522 3036080078283 4048106771044 6072160156566 12144320313132