Search a number
-
+
3020132313 = 3211318811117
BaseRepresentation
bin1011010000000011…
…1000111111011001
321210110220121200100
42310000320333121
522141123213223
61215403530013
7134561462322
oct26400707731
97713817610
103020132313
11130a871120
12703529909
13391912c53
14209167449
1512a21e043
hexb4038fd9

3020132313 has 48 divisors (see below), whose sum is σ = 4922491392. Its totient is φ = 1767744000.

The previous prime is 3020132309. The next prime is 3020132321. The reversal of 3020132313 is 3132310203.

3020132313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3020132313 - 22 = 3020132309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3020132303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2703231 + ... + 2704347.

It is an arithmetic number, because the mean of its divisors is an integer number (102551904).

Almost surely, 23020132313 is an apocalyptic number.

3020132313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3020132313 is a deficient number, since it is larger than the sum of its proper divisors (1902359079).

3020132313 is a wasteful number, since it uses less digits than its factorization.

3020132313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2043 counting only the distinct ones).

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

The square root of 3020132313 is about 54955.7304837266. The cubic root of 3020132313 is about 1445.4685825222.

Adding to 3020132313 its reverse (3132310203), we get a palindrome (6152442516).

The spelling of 3020132313 in words is "three billion, twenty million, one hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 9 11 31 33 93 99 279 341 881 1023 1117 2643 3069 3351 7929 9691 10053 12287 27311 29073 34627 36861 81933 87219 103881 110583 245799 300421 311643 380897 901263 984077 1142691 2703789 2952231 3428073 8856693 10824847 30506387 32474541 91519161 97423623 274557483 335570257 1006710771 3020132313