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231020313311322 = 23218170908629009
BaseRepresentation
bin110100100001110010011011…
…101101011111100001011010
31010021222022210211211101010100
4310201302123231133201122
5220240014100201430242
62135201133344000230
766442444504040043
oct6441623355374132
91107868724741110
10231020313311322
116767918a1a4797
1221ab134b600076
139bba1782501b2
14410962b1798ca
151ba957dad854c
hexd21c9bb5f85a

231020313311322 has 24 divisors (see below), whose sum is σ = 503309448712980. Its totient is φ = 76581319328640.

The previous prime is 231020313311297. The next prime is 231020313311539. The reversal of 231020313311322 is 223113313020132.

231020313311322 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 2 + 0 + 3 + 1 + 331 + 1 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 161824884123681 + 69195429187641 = 12721041^2 + 8318379^2 .

It is a super-3 number, since 3×2310203133113223 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35454311247 + ... + 35454317762.

Almost surely, 2231020313311322 is an apocalyptic number.

231020313311322 is an abundant number, since it is smaller than the sum of its proper divisors (272289135401658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231020313311322 is a wasteful number, since it uses less digits than its factorization.

231020313311322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70908629198 (or 70908629195 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 231020313311322 its reverse (223113313020132), we get a palindrome (454133626331454).

The spelling of 231020313311322 in words is "two hundred thirty-one trillion, twenty billion, three hundred thirteen million, three hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 181 362 543 1086 1629 3258 70908629009 141817258018 212725887027 425451774054 638177661081 1276355322162 12834461850629 25668923701258 38503385551887 77006771103774 115510156655661 231020313311322