Search a number
-
+
131132122201 is a prime number
BaseRepresentation
bin111101000100000010…
…1010110010001011001
3110112110211020000022201
41322020011112101121
54122024310402301
6140124040250201
712321401435113
oct1721005262131
9415424200281
10131132122201
1150681734313
12214b7a70961
13c49a5c1422
1464bd9aa3b3
153627442201
hex1e88156459

131132122201 has 2 divisors, whose sum is σ = 131132122202. Its totient is φ = 131132122200.

The previous prime is 131132122183. The next prime is 131132122223. The reversal of 131132122201 is 102221231131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129366105625 + 1766016576 = 359675^2 + 42024^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131132122201 is a prime.

It is not a weakly prime, because it can be changed into another prime (131132122241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65566061100 + 65566061101.

It is an arithmetic number, because the mean of its divisors is an integer number (65566061101).

Almost surely, 2131132122201 is an apocalyptic number.

It is an amenable number.

131132122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

131132122201 is an equidigital number, since it uses as much as digits as its factorization.

131132122201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 131132122201 its reverse (102221231131), we get a palindrome (233353353332).

The spelling of 131132122201 in words is "one hundred thirty-one billion, one hundred thirty-two million, one hundred twenty-two thousand, two hundred one".