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312231200201 is a prime number
BaseRepresentation
bin1001000101100100110…
…11100000010111001001
31002211220221002101010222
410202302123200113021
520103422141401301
6355234222115425
731362244261214
oct4426233402711
91084827071128
10312231200201
11110464411018
125061971bb75
132359bb52a8b
141117d74477b
1581c639d31b
hex48b26e05c9

312231200201 has 2 divisors, whose sum is σ = 312231200202. Its totient is φ = 312231200200.

The previous prime is 312231200147. The next prime is 312231200209. The reversal of 312231200201 is 102002132213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 301923874576 + 10307325625 = 549476^2 + 101525^2 .

It is a cyclic number.

It is not a de Polignac number, because 312231200201 - 218 = 312230938057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 312231200201.

It is not a weakly prime, because it can be changed into another prime (312231200209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156115600100 + 156115600101.

It is an arithmetic number, because the mean of its divisors is an integer number (156115600101).

Almost surely, 2312231200201 is an apocalyptic number.

It is an amenable number.

312231200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

312231200201 is an equidigital number, since it uses as much as digits as its factorization.

312231200201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 312231200201 its reverse (102002132213), we get a palindrome (414233332414).

The spelling of 312231200201 in words is "three hundred twelve billion, two hundred thirty-one million, two hundred thousand, two hundred one".