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3144013310201 is a prime number
BaseRepresentation
bin101101110000000101110…
…010111110100011111001
3102010120020200201102210212
4231300011302332203321
5403002414401411301
610404201220320505
7443101403124161
oct55600562764371
912116220642725
103144013310201
111002406605205
124293b7843135
1319a62c9c3a5a
14ac2575415a1
1556bb29694bb
hex2dc05cbe8f9

3144013310201 has 2 divisors, whose sum is σ = 3144013310202. Its totient is φ = 3144013310200.

The previous prime is 3144013310197. The next prime is 3144013310203. The reversal of 3144013310201 is 1020133104413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2499165765625 + 644847544576 = 1580875^2 + 803024^2 .

It is an emirp because it is prime and its reverse (1020133104413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3144013310201 - 22 = 3144013310197 is a prime.

Together with 3144013310203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3144013310203) 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, 1572006655100 + 1572006655101.

It is an arithmetic number, because the mean of its divisors is an integer number (1572006655101).

Almost surely, 23144013310201 is an apocalyptic number.

It is an amenable number.

3144013310201 is a deficient number, since it is larger than the sum of its proper divisors (1).

3144013310201 is an equidigital number, since it uses as much as digits as its factorization.

3144013310201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 3144013310201 its reverse (1020133104413), we get a palindrome (4164146414614).

The spelling of 3144013310201 in words is "three trillion, one hundred forty-four billion, thirteen million, three hundred ten thousand, two hundred one".