Search a number
-
+
131103327601 is a prime number
BaseRepresentation
bin111101000011001011…
…1100000010101110001
3110112101211001002120001
41322012113200111301
54121444422440401
6140121131150001
712320601616621
oct1720627402561
9415354032501
10131103327601
1150667457524
12214aa2a5301
13c49464bcbc
1464b9c32881
153624b55601
hex1e865e0571

131103327601 has 2 divisors, whose sum is σ = 131103327602. Its totient is φ = 131103327600.

The previous prime is 131103327581. The next prime is 131103327613. The reversal of 131103327601 is 106723301131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115913011600 + 15190316001 = 340460^2 + 123249^2 .

It is a cyclic number.

It is not a de Polignac number, because 131103327601 - 27 = 131103327473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131103327601.

It is not a weakly prime, because it can be changed into another prime (131103327001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65551663800 + 65551663801.

It is an arithmetic number, because the mean of its divisors is an integer number (65551663801).

Almost surely, 2131103327601 is an apocalyptic number.

It is an amenable number.

131103327601 is a deficient number, since it is larger than the sum of its proper divisors (1).

131103327601 is an equidigital number, since it uses as much as digits as its factorization.

131103327601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 28.

Adding to 131103327601 its reverse (106723301131), we get a palindrome (237826628732).

The spelling of 131103327601 in words is "one hundred thirty-one billion, one hundred three million, three hundred twenty-seven thousand, six hundred one".