Search a number
-
+
310443413013 = 32211116339987
BaseRepresentation
bin1001000010001111101…
…11101000111000010101
31002200022100001101011200
410201013313220320111
520041242003204023
6354340555423113
731300035320526
oct4410767507025
91080270041150
10310443413013
1110a727239048
12501baa54a99
132337564a836
141105012a84d
15811e458743
hex4847de8e15

310443413013 has 12 divisors (see below), whose sum is σ = 448630710528. Its totient is φ = 206864222760.

The previous prime is 310443412987. The next prime is 310443413039. The reversal of 310443413013 is 310314344013.

310443413013 is a `hidden beast` number, since 3 + 10 + 4 + 4 + 341 + 301 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (310443412987) and next prime (310443413039).

It is not a de Polignac number, because 310443413013 - 29 = 310443412501 is a prime.

It is a super-2 number, since 2×3104434130132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310443413213) 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 in 11 ways as a sum of consecutive naturals, for example, 8150995 + ... + 8188992.

It is an arithmetic number, because the mean of its divisors is an integer number (37385892544).

Almost surely, 2310443413013 is an apocalyptic number.

It is an amenable number.

310443413013 is a deficient number, since it is larger than the sum of its proper divisors (138187297515).

310443413013 is a wasteful number, since it uses less digits than its factorization.

310443413013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16342104 (or 16342101 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 310443413013 its reverse (310314344013), we get a palindrome (620757757026).

The spelling of 310443413013 in words is "three hundred ten billion, four hundred forty-three million, four hundred thirteen thousand, thirteen".

Divisors: 1 3 9 2111 6333 18999 16339987 49019961 147059883 34493712557 103481137671 310443413013