Search a number
-
+
12321101312309 is a prime number
BaseRepresentation
bin1011001101001011101011…
…0111011111000100110101
31121121212220201211212021002
42303102322313133010311
53103332103413443214
642112122533333045
72411112243101666
oct263227267370465
947555821755232
1012321101312309
113a20393531389
12146bab3a97185
136b4b4b1161ba
143084b73a736d
15165777d901de
hexb34baddf135

12321101312309 has 2 divisors, whose sum is σ = 12321101312310. Its totient is φ = 12321101312308.

The previous prime is 12321101312281. The next prime is 12321101312323. The reversal of 12321101312309 is 90321310112321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11760029904100 + 561071408209 = 3429290^2 + 749047^2 .

It is a cyclic number.

It is not a de Polignac number, because 12321101312309 - 28 = 12321101312053 is a prime.

It is a super-2 number, since 2×123211013123092 (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 (12321106312309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6160550656154 + 6160550656155.

It is an arithmetic number, because the mean of its divisors is an integer number (6160550656155).

Almost surely, 212321101312309 is an apocalyptic number.

It is an amenable number.

12321101312309 is a deficient number, since it is larger than the sum of its proper divisors (1).

12321101312309 is an equidigital number, since it uses as much as digits as its factorization.

12321101312309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 12321101312309 in words is "twelve trillion, three hundred twenty-one billion, one hundred one million, three hundred twelve thousand, three hundred nine".