Search a number
-
+
12301819300117 is a prime number
BaseRepresentation
bin1011001100000011110110…
…0100011100100100010101
31121120001010221100011010101
42303000331210130210111
53103023111220100432
642055213333054101
72406530356515004
oct263007544344425
947501127304111
1012301819300117
113a13199318216
121468212487331
136b3097408229
143075a85bcc3b
15164eea19b4e7
hexb303d91c915

12301819300117 has 2 divisors, whose sum is σ = 12301819300118. Its totient is φ = 12301819300116.

The previous prime is 12301819300073. The next prime is 12301819300171. The reversal of 12301819300117 is 71100391810321.

Together with next prime (12301819300171) 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., 8508416452561 + 3793402847556 = 2916919^2 + 1947666^2 .

It is a cyclic number.

It is not a de Polignac number, because 12301819300117 - 243 = 3505726277909 is a prime.

It is a super-2 number, since 2×123018193001172 (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 (12301819300717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6150909650058 + 6150909650059.

It is an arithmetic number, because the mean of its divisors is an integer number (6150909650059).

Almost surely, 212301819300117 is an apocalyptic number.

It is an amenable number.

12301819300117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12301819300117 is an equidigital number, since it uses as much as digits as its factorization.

12301819300117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 37.

The spelling of 12301819300117 in words is "twelve trillion, three hundred one billion, eight hundred nineteen million, three hundred thousand, one hundred seventeen".