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10320331311 = 332320038297
BaseRepresentation
bin10011001110010001…
…11100001000101111
3222122020112011002000
421213020330020233
5132114001100221
64424024303343
7513514240323
oct114710741057
928566464060
1010320331311
114416615734
122000311b53
13c86186424
146dc909983
15406085e26
hex26723c22f

10320331311 has 32 divisors (see below), whose sum is σ = 15964024320. Its totient is φ = 6577002432.

The previous prime is 10320331283. The next prime is 10320331363. The reversal of 10320331311 is 11313302301.

It is a happy number.

10320331311 is a `hidden beast` number, since 1 + 0 + 3 + 20 + 331 + 311 = 666.

10320331311 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 10320331311 - 26 = 10320331247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10320331391) 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 31 ways as a sum of consecutive naturals, for example, 1239715 + ... + 1248011.

It is an arithmetic number, because the mean of its divisors is an integer number (498875760).

Almost surely, 210320331311 is an apocalyptic number.

10320331311 is a deficient number, since it is larger than the sum of its proper divisors (5643693009).

10320331311 is a wasteful number, since it uses less digits than its factorization.

10320331311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10332 (or 10326 counting only the distinct ones).

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

Adding to 10320331311 its reverse (11313302301), we get a palindrome (21633633612).

The spelling of 10320331311 in words is "ten billion, three hundred twenty million, three hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 9 23 27 69 207 621 2003 6009 8297 18027 24891 46069 54081 74673 138207 190831 224019 414621 572493 1243863 1717479 5152437 16618891 49856673 149570019 382234493 448710057 1146703479 3440110437 10320331311