Search a number
-
+
13021310331 = 33837337927
BaseRepresentation
bin11000010000010000…
…10110110101111011
31020121110220002202000
430020020112311323
5203131423412311
65552031512043
7640452211611
oct141010266573
936543802660
1013021310331
1155822101a7
122634988623
1312c6923673
148b75156b1
15513261056
hex308216d7b

13021310331 has 32 divisors (see below), whose sum is σ = 19552350720. Its totient is φ = 8563504032.

The previous prime is 13021310303. The next prime is 13021310333. The reversal of 13021310331 is 13301312031.

It is a happy number.

13021310331 is a `hidden beast` number, since 1 + 3 + 0 + 21 + 310 + 331 = 666.

It is not a de Polignac number, because 13021310331 - 225 = 12987755899 is a prime.

It is a super-2 number, since 2×130213103312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13021310333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1638690 + ... + 1646616.

It is an arithmetic number, because the mean of its divisors is an integer number (611010960).

Almost surely, 213021310331 is an apocalyptic number.

13021310331 is a deficient number, since it is larger than the sum of its proper divisors (6531040389).

13021310331 is an equidigital number, since it uses as much as digits as its factorization.

13021310331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8752 (or 8746 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13021310331 its reverse (13301312031), we get a palindrome (26322622362).

The spelling of 13021310331 in words is "thirteen billion, twenty-one million, three hundred ten thousand, three hundred thirty-one".

Divisors: 1 3 9 27 83 249 733 747 2199 2241 6597 7927 19791 23781 60839 71343 182517 214029 547551 657941 1642653 1973823 5810491 5921469 17431473 17764407 52294419 156883257 482270753 1446812259 4340436777 13021310331