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12145424014131 = 319727293091629
BaseRepresentation
bin1011000010111101001110…
…1011110001101100110011
31121000002110111000110010220
42300233103223301230303
53042442312021423011
641455310351224123
72362322633516052
oct260572353615463
947002414013126
1012145424014131
113962933253051
121441a45b18043
136a1401c0c2a5
142ddbad724399
15160de4e02506
hexb0bd3af1b33

12145424014131 has 16 divisors (see below), whose sum is σ = 17069656531200. Its totient is φ = 7660242789408.

The previous prime is 12145424014109. The next prime is 12145424014151. The reversal of 12145424014131 is 13141042454121.

It is not a de Polignac number, because 12145424014131 - 25 = 12145424014099 is a prime.

It is a super-2 number, since 2×121454240141312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12145424014092 and 12145424014101.

It is not an unprimeable number, because it can be changed into a prime (12145424014151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146504376 + ... + 146587253.

It is an arithmetic number, because the mean of its divisors is an integer number (1066853533200).

Almost surely, 212145424014131 is an apocalyptic number.

12145424014131 is a deficient number, since it is larger than the sum of its proper divisors (4924232517069).

12145424014131 is a wasteful number, since it uses less digits than its factorization.

12145424014131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293092378.

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 12145424014131 its reverse (13141042454121), we get a palindrome (25286466468252).

The spelling of 12145424014131 in words is "twelve trillion, one hundred forty-five billion, four hundred twenty-four million, fourteen thousand, one hundred thirty-one".

Divisors: 1 3 19 57 727 2181 13813 41439 293091629 879274887 5568740951 16706222853 213077614283 639232842849 4048474671377 12145424014131