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12002202310313 is a prime number
BaseRepresentation
bin1010111010100111101100…
…0000010101011010101001
31120111101210010010001121002
42232221323000111122221
53033121002242412223
641305422521124345
72346062522233205
oct256517300253251
946441703101532
1012002202310313
113908118342176
12141a1353296b5
13690a58a4c997
142d6ca429bb05
1515c311446e28
hexaea7b0156a9

12002202310313 has 2 divisors, whose sum is σ = 12002202310314. Its totient is φ = 12002202310312.

The previous prime is 12002202310277. The next prime is 12002202310321. The reversal of 12002202310313 is 31301320220021.

12002202310313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8953452341824 + 3048749968489 = 2992232^2 + 1746067^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002202310313 - 214 = 12002202293929 is a prime.

It is not a weakly prime, because it can be changed into another prime (12002202318313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001101155156 + 6001101155157.

It is an arithmetic number, because the mean of its divisors is an integer number (6001101155157).

Almost surely, 212002202310313 is an apocalyptic number.

It is an amenable number.

12002202310313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002202310313 is an equidigital number, since it uses as much as digits as its factorization.

12002202310313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12002202310313 its reverse (31301320220021), we get a palindrome (43303522530334).

The spelling of 12002202310313 in words is "twelve trillion, two billion, two hundred two million, three hundred ten thousand, three hundred thirteen".