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12816400000031 is a prime number
BaseRepresentation
bin1011101010000000110011…
…1110000010010000011111
31200101020100221201011110122
42322200030332002100133
53134440441400000111
643131434535225155
72461645224346505
oct272401476022037
950336327634418
1012816400000031
1140a144a74a331
12152baa25181bb
1371c773263a94
1432446207a675
151735b5dbbcdb
hexba80cf8241f

12816400000031 has 2 divisors, whose sum is σ = 12816400000032. Its totient is φ = 12816400000030.

The previous prime is 12816399999941. The next prime is 12816400000043. The reversal of 12816400000031 is 13000000461821.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12816400000031 is a prime.

It is a super-2 number, since 2×128164000000312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12816400000091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6408200000015 + 6408200000016.

It is an arithmetic number, because the mean of its divisors is an integer number (6408200000016).

Almost surely, 212816400000031 is an apocalyptic number.

12816400000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

12816400000031 is an equidigital number, since it uses as much as digits as its factorization.

12816400000031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 12816400000031 its reverse (13000000461821), we get a palindrome (25816400461852).

The spelling of 12816400000031 in words is "twelve trillion, eight hundred sixteen billion, four hundred million, thirty-one", and thus it is an aban number.