Search a number
-
+
3301120332313 = 291371601518981
BaseRepresentation
bin110000000010011010000…
…110101101001000011001
3102200120202202022002012121
4300002122012231020121
5413041143301113223
611004302545141241
7460332560564416
oct60023206551031
912616682262177
103301120332313
111062aa7405251
1245394262a821
131ac3a97aac2b
14b5abcb4b10d
155ad0a45315d
hex3009a1ad219

3301120332313 has 16 divisors (see below), whose sum is σ = 3442033938960. Its totient is φ = 3162041344000.

The previous prime is 3301120332271. The next prime is 3301120332319. The reversal of 3301120332313 is 3132330211033.

It can be written as a sum of positive squares in 8 ways, for example, as 94452958224 + 3206667374089 = 307332^2 + 1790717^2 .

It is a cyclic number.

It is not a de Polignac number, because 3301120332313 - 29 = 3301120331801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3301120332319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6101283 + ... + 6620263.

It is an arithmetic number, because the mean of its divisors is an integer number (215127121185).

Almost surely, 23301120332313 is an apocalyptic number.

It is an amenable number.

3301120332313 is a deficient number, since it is larger than the sum of its proper divisors (140913606647).

3301120332313 is a wasteful number, since it uses less digits than its factorization.

3301120332313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520748.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 3301120332313 its reverse (3132330211033), we get a palindrome (6433450543346).

The spelling of 3301120332313 in words is "three trillion, three hundred one billion, one hundred twenty million, three hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 29 137 1601 3973 46429 219337 518981 6360773 15050449 71100397 830888581 2061911513 24095768849 113831735597 3301120332313