Search a number
-
+
301131951624029 is a prime number
BaseRepresentation
bin100010001111000001011111…
…1000000011100111101011101
31110111012221012110122000211102
41010132002333000130331131
5303432221214103432104
62544242035300002445
7120300031324513331
oct10436027700347535
91414187173560742
10301131951624029
1187a4a38621a569
1229935481390425
13cc0480c9b23a6
145450c1560d7c1
1524c31ee442a1e
hex111e0bf01cf5d

301131951624029 has 2 divisors, whose sum is σ = 301131951624030. Its totient is φ = 301131951624028.

The previous prime is 301131951623957. The next prime is 301131951624047. The reversal of 301131951624029 is 920426159131103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223573458331129 + 77558493292900 = 14952373^2 + 8806730^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-301131951624029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (301131951620029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150565975812014 + 150565975812015.

It is an arithmetic number, because the mean of its divisors is an integer number (150565975812015).

Almost surely, 2301131951624029 is an apocalyptic number.

It is an amenable number.

301131951624029 is a deficient number, since it is larger than the sum of its proper divisors (1).

301131951624029 is an equidigital number, since it uses as much as digits as its factorization.

301131951624029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 349920, while the sum is 47.

The spelling of 301131951624029 in words is "three hundred one trillion, one hundred thirty-one billion, nine hundred fifty-one million, six hundred twenty-four thousand, twenty-nine".