Search a number
-
+
202130321131001 is a prime number
BaseRepresentation
bin101101111101011000100001…
…111111010100010111111001
3222111200110200121200022002002
4231331120201333110113321
5202443200344202143001
61553521215420350345
760401301534206114
oct5575304177242771
9874613617608062
10202130321131001
115944aa9582a78a
121a8062636a53b5
1388a2a660b3a03
1437cb23449357b
151857d181b546b
hexb7d621fd45f9

202130321131001 has 2 divisors, whose sum is σ = 202130321131002. Its totient is φ = 202130321131000.

The previous prime is 202130321130973. The next prime is 202130321131031. The reversal of 202130321131001 is 100131123031202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129218805828025 + 72911515302976 = 11367445^2 + 8538824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202130321131001 is a prime.

It is not a weakly prime, because it can be changed into another prime (202130321131031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101065160565500 + 101065160565501.

It is an arithmetic number, because the mean of its divisors is an integer number (101065160565501).

Almost surely, 2202130321131001 is an apocalyptic number.

It is an amenable number.

202130321131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

202130321131001 is an equidigital number, since it uses as much as digits as its factorization.

202130321131001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 202130321131001 its reverse (100131123031202), we get a palindrome (302261444162203).

The spelling of 202130321131001 in words is "two hundred two trillion, one hundred thirty billion, three hundred twenty-one million, one hundred thirty-one thousand, one".