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12144411201131 = 112938070254549
BaseRepresentation
bin1011000010111001011101…
…0100001100111001101011
31120222222211220020012220022
42300232113110030321223
53042433223231414011
641455022051151055
72362255554661346
oct260562724147153
946888756205808
1012144411201131
113962463578710
1214418028a548b
136a12a0137061
142ddb14ddd45d
15160d8603e8db
hexb0b9750ce6b

12144411201131 has 8 divisors (see below), whose sum is σ = 13705291638000. Its totient is φ = 10659671273440.

The previous prime is 12144411201089. The next prime is 12144411201163. The reversal of 12144411201131 is 13110211444121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12144411201131 - 210 = 12144411200107 is a prime.

It is a super-2 number, since 2×121444112011312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12144411201131.

It is not an unprimeable number, because it can be changed into a prime (12144411201191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19035126956 + ... + 19035127593.

It is an arithmetic number, because the mean of its divisors is an integer number (1713161454750).

Almost surely, 212144411201131 is an apocalyptic number.

12144411201131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12144411201131 is a deficient number, since it is larger than the sum of its proper divisors (1560880436869).

12144411201131 is a wasteful number, since it uses less digits than its factorization.

12144411201131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38070254589.

The product of its (nonzero) digits is 768, while the sum is 26.

Adding to 12144411201131 its reverse (13110211444121), we get a palindrome (25254622645252).

The spelling of 12144411201131 in words is "twelve trillion, one hundred forty-four billion, four hundred eleven million, two hundred one thousand, one hundred thirty-one".

Divisors: 1 11 29 319 38070254549 418772800039 1104037381921 12144411201131