Search a number
-
+
31320002313 = 3223374089307
BaseRepresentation
bin11101001010110100…
…010100111100001001
32222211202002222010200
4131022310110330021
51003120410033223
622215504202413
72156065425045
oct351264247411
988752088120
1031320002313
1112312363336
1260a1009409
132c519b4562
141731895025
15c3496aa43
hex74ad14f09

31320002313 has 24 divisors (see below), whose sum is σ = 48482835648. Its totient is φ = 19432382112.

The previous prime is 31320002299. The next prime is 31320002317.

31320002313 is a `hidden beast` number, since 31 + 320 + 0 + 0 + 2 + 313 = 666.

31320002313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31320002313 - 25 = 31320002281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31320002317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2036995 + ... + 2052312.

It is an arithmetic number, because the mean of its divisors is an integer number (2020118152).

Almost surely, 231320002313 is an apocalyptic number.

It is an amenable number.

31320002313 is a deficient number, since it is larger than the sum of its proper divisors (17162833335).

31320002313 is a wasteful number, since it uses less digits than its factorization.

31320002313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089373 (or 4089370 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 3132000 and 2313, that added together give a palindrome (3134313).

The spelling of 31320002313 in words is "thirty-one billion, three hundred twenty million, two thousand, three hundred thirteen".

Divisors: 1 3 9 23 37 69 111 207 333 851 2553 7659 4089307 12267921 36803763 94054061 151304359 282162183 453913077 846486549 1361739231 3480000257 10440000771 31320002313