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12344440131 = 326122485319
BaseRepresentation
bin10110111111100100…
…10011010101000011
31011212022020112101100
423133302103111003
5200240134041011
65400532105443
7614623003242
oct133762232503
934768215340
1012344440131
115265129641
122486165283
13121962215a
1485167c959
154c3b0bd56
hex2dfc93543

12344440131 has 12 divisors (see below), whose sum is σ = 18123167920. Its totient is φ = 8094714480.

The previous prime is 12344440123. The next prime is 12344440133. The reversal of 12344440131 is 13104444321.

It is not a de Polignac number, because 12344440131 - 23 = 12344440123 is a prime.

It is a super-3 number, since 3×123444401313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12344440095 and 12344440104.

It is not an unprimeable number, because it can be changed into a prime (12344440133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11242111 + ... + 11243208.

Almost surely, 212344440131 is an apocalyptic number.

12344440131 is a deficient number, since it is larger than the sum of its proper divisors (5778727789).

12344440131 is a wasteful number, since it uses less digits than its factorization.

12344440131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22485386 (or 22485383 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12344440131 its reverse (13104444321), we get a palindrome (25448884452).

The spelling of 12344440131 in words is "twelve billion, three hundred forty-four million, four hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 9 61 183 549 22485319 67455957 202367871 1371604459 4114813377 12344440131