Search a number
-
+
320143330331137 is a prime number
BaseRepresentation
bin100100011001010110010110…
…1011110110100101000000001
31112222112101220010201022201201
41020302230231132310220001
5313430212020031044022
63052515452100501201
7124301410112311345
oct11062545536645001
91488471803638651
10320143330331137
119300a029941785
122baa5b096aa801
131098350421c781
14590b03c715625
1527029e19ab127
hex1232b2d7b4a01

320143330331137 has 2 divisors, whose sum is σ = 320143330331138. Its totient is φ = 320143330331136.

The previous prime is 320143330331119. The next prime is 320143330331179. The reversal of 320143330331137 is 731133033341023.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 247488146843536 + 72655183487601 = 15731756^2 + 8523801^2 .

It is a cyclic number.

It is not a de Polignac number, because 320143330331137 - 227 = 320143196113409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320143330331096 and 320143330331105.

It is not a weakly prime, because it can be changed into another prime (320143330331107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160071665165568 + 160071665165569.

It is an arithmetic number, because the mean of its divisors is an integer number (160071665165569).

Almost surely, 2320143330331137 is an apocalyptic number.

It is an amenable number.

320143330331137 is a deficient number, since it is larger than the sum of its proper divisors (1).

320143330331137 is an equidigital number, since it uses as much as digits as its factorization.

320143330331137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 122472, while the sum is 37.

The spelling of 320143330331137 in words is "three hundred twenty trillion, one hundred forty-three billion, three hundred thirty million, three hundred thirty-one thousand, one hundred thirty-seven".