Search a number
-
+
12283932434017 is a prime number
BaseRepresentation
bin1011001011000001001101…
…1011011101111001100001
31121111022222101001012122011
42302300103123131321201
53102224443200342032
642043054411312521
72405325203616226
oct262602333357141
947438871035564
1012283932434017
113a0664a687a52
12146486014b741
136b14a67695aa
1430678cc0194d
151647eebde247
hexb2c136dde61

12283932434017 has 2 divisors, whose sum is σ = 12283932434018. Its totient is φ = 12283932434016.

The previous prime is 12283932434009. The next prime is 12283932434021. The reversal of 12283932434017 is 71043423938221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8201556634896 + 4082375799121 = 2863836^2 + 2020489^2 .

It is a cyclic number.

It is not a de Polignac number, because 12283932434017 - 23 = 12283932434009 is a prime.

It is not a weakly prime, because it can be changed into another prime (12283932434617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6141966217008 + 6141966217009.

It is an arithmetic number, because the mean of its divisors is an integer number (6141966217009).

Almost surely, 212283932434017 is an apocalyptic number.

It is an amenable number.

12283932434017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12283932434017 is an equidigital number, since it uses as much as digits as its factorization.

12283932434017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 12283932434017 in words is "twelve trillion, two hundred eighty-three billion, nine hundred thirty-two million, four hundred thirty-four thousand, seventeen".