Search a number
-
+
403133231003137 is a prime number
BaseRepresentation
bin101101110101001011100010…
…1000001111111011000000001
31221212101011100000011121021121
41123222113011001333120001
5410314413324114100022
63545220503305152241
7150625262163011125
oct13352270501773001
91855334300147247
10403133231003137
111074a593026aa28
1239269b0748b681
13143c33ba45774b
147179a76b85585
1531916491aa2c7
hex16ea5c507f601

403133231003137 has 2 divisors, whose sum is σ = 403133231003138. Its totient is φ = 403133231003136.

The previous prime is 403133231003051. The next prime is 403133231003149. The reversal of 403133231003137 is 731300132331304.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 323335385177841 + 79797845825296 = 17981529^2 + 8932964^2 .

It is a cyclic number.

It is not a de Polignac number, because 403133231003137 - 227 = 403133096785409 is a prime.

It is not a weakly prime, because it can be changed into another prime (403133231003177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201566615501568 + 201566615501569.

It is an arithmetic number, because the mean of its divisors is an integer number (201566615501569).

Almost surely, 2403133231003137 is an apocalyptic number.

It is an amenable number.

403133231003137 is a deficient number, since it is larger than the sum of its proper divisors (1).

403133231003137 is an equidigital number, since it uses as much as digits as its factorization.

403133231003137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40824, while the sum is 34.

The spelling of 403133231003137 in words is "four hundred three trillion, one hundred thirty-three billion, two hundred thirty-one million, three thousand, one hundred thirty-seven".