Search a number
-
+
413132043229 is a prime number
BaseRepresentation
bin1100000001100001001…
…01101011001111011101
31110111100212211021201021
412000300211223033131
523232043300340404
6513442405244141
741563540266223
oct6006045531735
91414325737637
10413132043229
1114a2322a4894
1268099103651
132cc5c192819
1415dd22a0b13
15ab2e72e454
hex603096b3dd

413132043229 has 2 divisors, whose sum is σ = 413132043230. Its totient is φ = 413132043228.

The previous prime is 413132043223. The next prime is 413132043257. The reversal of 413132043229 is 922340231314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 378581784100 + 34550259129 = 615290^2 + 185877^2 .

It is a cyclic number.

It is not a de Polignac number, because 413132043229 - 23 = 413132043221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413132043194 and 413132043203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413132043221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206566021614 + 206566021615.

It is an arithmetic number, because the mean of its divisors is an integer number (206566021615).

Almost surely, 2413132043229 is an apocalyptic number.

It is an amenable number.

413132043229 is a deficient number, since it is larger than the sum of its proper divisors (1).

413132043229 is an equidigital number, since it uses as much as digits as its factorization.

413132043229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 413132043229 in words is "four hundred thirteen billion, one hundred thirty-two million, forty-three thousand, two hundred twenty-nine".