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12612313401109 is a prime number
BaseRepresentation
bin1011011110001000100001…
…1101011100011100010101
31122122201120210202202010121
42313202020131130130111
53123120004212313414
642454003343151541
72441131612030102
oct267421035343425
948581523682117
1012612313401109
114022941126954
1214b84262a55b1
1370644a3c2346
14318621341aa9
1516d11dcb8724
hexb788875c715

12612313401109 has 2 divisors, whose sum is σ = 12612313401110. Its totient is φ = 12612313401108.

The previous prime is 12612313401091. The next prime is 12612313401131. The reversal of 12612313401109 is 90110431321621.

12612313401109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (12612313401091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9436354578225 + 3175958822884 = 3071865^2 + 1782122^2 .

It is a cyclic number.

It is not a de Polignac number, because 12612313401109 - 233 = 12603723466517 is a prime.

It is a super-2 number, since 2×126123134011092 (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 (12612313441109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6306156700554 + 6306156700555.

It is an arithmetic number, because the mean of its divisors is an integer number (6306156700555).

Almost surely, 212612313401109 is an apocalyptic number.

It is an amenable number.

12612313401109 is a deficient number, since it is larger than the sum of its proper divisors (1).

12612313401109 is an equidigital number, since it uses as much as digits as its factorization.

12612313401109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 12612313401109 in words is "twelve trillion, six hundred twelve billion, three hundred thirteen million, four hundred one thousand, one hundred nine".