Search a number
-
+
31010333000201 is a prime number
BaseRepresentation
bin1110000110100001001111…
…11000100000001000001001
311001210120002102110222111022
413003100213320200020021
513031033130222001301
6145541541133442225
76350264650242242
oct703204770401011
9131716072428438
1031010333000201
1199764545a4a35
12358a015940375
13143c3533a8799
14792c9dc79cc9
1538b9b3779d1b
hex1c3427e20209

31010333000201 has 2 divisors, whose sum is σ = 31010333000202. Its totient is φ = 31010333000200.

The previous prime is 31010333000173. The next prime is 31010333000221. The reversal of 31010333000201 is 10200033301013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25358516204176 + 5651816796025 = 5035724^2 + 2377355^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31010333000201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31010333000201.

It is not a weakly prime, because it can be changed into another prime (31010333000221) 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, 15505166500100 + 15505166500101.

It is an arithmetic number, because the mean of its divisors is an integer number (15505166500101).

Almost surely, 231010333000201 is an apocalyptic number.

It is an amenable number.

31010333000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

31010333000201 is an equidigital number, since it uses as much as digits as its factorization.

31010333000201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 31010333000201 its reverse (10200033301013), we get a palindrome (41210366301214).

The spelling of 31010333000201 in words is "thirty-one trillion, ten billion, three hundred thirty-three million, two hundred one", and thus it is an aban number.