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12315361415514 = 23171959107706367
BaseRepresentation
bin1011001100110110010010…
…1111100001000101011010
31121121100002201012220002220
42303031210233201011122
53103233330010244024
642105333211404510
72410520064555003
oct263154457410532
947540081186086
1012315361415514
113a18a08504a23
12146a971753736
136b4444bb9671
143080d0d441aa
1516553ded4e79
hexb3364be115a

12315361415514 has 64 divisors (see below), whose sum is σ = 27917490585600. Its totient is φ = 3598254275328.

The previous prime is 12315361415501. The next prime is 12315361415527. The reversal of 12315361415514 is 41551416351321.

12315361415514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12315361415501) and next prime (12315361415527).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53738842 + ... + 53967525.

It is an arithmetic number, because the mean of its divisors is an integer number (436210790400).

Almost surely, 212315361415514 is an apocalyptic number.

12315361415514 is an abundant number, since it is smaller than the sum of its proper divisors (15602129170086).

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

12315361415514 is a wasteful number, since it uses less digits than its factorization.

12315361415514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107706467.

The product of its digits is 216000, while the sum is 42.

Adding to 12315361415514 its reverse (41551416351321), we get a palindrome (53866777766835).

The spelling of 12315361415514 in words is "twelve trillion, three hundred fifteen billion, three hundred sixty-one million, four hundred fifteen thousand, five hundred fourteen".

Divisors: 1 2 3 6 17 19 34 38 51 57 59 102 114 118 177 323 354 646 969 1003 1121 1938 2006 2242 3009 3363 6018 6726 19057 38114 57171 114342 107706367 215412734 323119101 646238202 1831008239 2046420973 3662016478 4092841946 5493024717 6139262919 6354675653 10986049434 12278525838 12709351306 19064026959 34789156541 38128053918 69578313082 104367469623 108029486101 120738837407 208734939246 216058972202 241477674814 324088458303 362216512221 648176916606 724433024442 2052560235919 4105120471838 6157680707757 12315361415514