Search a number
-
+
31304255240313 = 32117910007399979
BaseRepresentation
bin1110001111000100101110…
…00000110111100001111001
311002211122202101000211001100
413013202113000313201321
513100342103320142223
6150324550515242013
76410441425123206
oct707422700674171
9132748671024040
1031304255240313
119a7a072a8a280
123616b838a9309
131460c94cb3a63
147a31c3b2acad
15394467591043
hex1c7897037879

31304255240313 has 48 divisors (see below), whose sum is σ = 49957438003200. Its totient is φ = 18730201782240.

The previous prime is 31304255240281. The next prime is 31304255240329.

31304255240313 is a `hidden beast` number, since 3 + 1 + 30 + 4 + 2 + 552 + 40 + 31 + 3 = 666.

31304255240313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31304255240313 - 25 = 31304255240281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31304255240383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78064758 + ... + 78464736.

It is an arithmetic number, because the mean of its divisors is an integer number (1040779958400).

Almost surely, 231304255240313 is an apocalyptic number.

31304255240313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31304255240313 is a deficient number, since it is larger than the sum of its proper divisors (18653182762887).

31304255240313 is a wasteful number, since it uses less digits than its factorization.

31304255240313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410082 (or 410079 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 3130425 and 5240313, that added together give a palindrome (8370738).

The spelling of 31304255240313 in words is "thirty-one trillion, three hundred four billion, two hundred fifty-five million, two hundred forty thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 79 99 237 711 869 2607 7821 10007 30021 90063 110077 330231 399979 790553 990693 1199937 2371659 3599811 4399769 7114977 8696083 13199307 26088249 31598341 39597921 78264747 94795023 284385069 347581751 1042745253 3128235759 4002589853 12007769559 36023308677 44028488383 132085465149 316204598387 396256395447 948613795161 2845841385483 3478250582257 10434751746771 31304255240313