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321321131031021 = 31110760390490079
BaseRepresentation
bin100100100001111010110011…
…1110111111011100111101101
31120010201000000002112010212120
41021003311213313323213231
5314104011134020443041
63055220520105223153
7124452454112134662
oct11103654767734755
91503630002463776
10321321131031021
1193423587708050
1230056230791ab9
1310a3a5b65b4924
14594c05081da69
1527234777eb366
hex1243d67dfb9ed

321321131031021 has 16 divisors (see below), whose sum is σ = 467380539279360. Its totient is φ = 194738267459120.

The previous prime is 321321131031013. The next prime is 321321131031077. The reversal of 321321131031021 is 120130131123123.

It is not a de Polignac number, because 321321131031021 - 23 = 321321131031013 is a prime.

It is a super-2 number, since 2×3213211310310212 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321321131030982 and 321321131031000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321321131031011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41694141 + ... + 48795938.

It is an arithmetic number, because the mean of its divisors is an integer number (29211283704960).

Almost surely, 2321321131031021 is an apocalyptic number.

It is an amenable number.

321321131031021 is a deficient number, since it is larger than the sum of its proper divisors (146059408248339).

321321131031021 is a wasteful number, since it uses less digits than its factorization.

321321131031021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90597696.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 321321131031021 its reverse (120130131123123), we get a palindrome (441451262154144).

The spelling of 321321131031021 in words is "three hundred twenty-one trillion, three hundred twenty-one billion, one hundred thirty-one million, thirty-one thousand, twenty-one".

Divisors: 1 3 11 33 107603 322809 1183633 3550899 90490079 271470237 995390869 2986172607 9737003970637 29211011911911 107107043677007 321321131031021