Search a number
-
+
2000131303301 is a prime number
BaseRepresentation
bin11101000110110001000…
…111011010011110000101
321002012200120220202020022
4131012301013122132011
5230232232103201201
64130503031144525
7264335055364355
oct35066107323605
97065616822208
102000131303301
11701283a82a0a
1228377bb15145
131167c4818131
146cb420acb65
15370647b741b
hex1d1b11da785

2000131303301 has 2 divisors, whose sum is σ = 2000131303302. Its totient is φ = 2000131303300.

The previous prime is 2000131303283. The next prime is 2000131303349. The reversal of 2000131303301 is 1033031310002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1635007198276 + 365124105025 = 1278674^2 + 604255^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000131303301 - 234 = 1982951434117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2000131303301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000131303801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000065651650 + 1000065651651.

It is an arithmetic number, because the mean of its divisors is an integer number (1000065651651).

Almost surely, 22000131303301 is an apocalyptic number.

It is an amenable number.

2000131303301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000131303301 is an equidigital number, since it uses as much as digits as its factorization.

2000131303301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 2000131303301 its reverse (1033031310002), we get a palindrome (3033162613303).

The spelling of 2000131303301 in words is "two trillion, one hundred thirty-one million, three hundred three thousand, three hundred one".