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12031011012321 = 327190968428767
BaseRepresentation
bin1010111100010011000000…
…1000110011111011100001
31120121011010211202202100100
42233010300020303323201
53034104002304343241
641330545315413013
72351132445166110
oct257046010637341
946534124682310
1012031011012321
113919361083404
1214238352b4169
1369369a379412
142d84383ddc77
1515ce4a6a39b6
hexaf130233ee1

12031011012321 has 12 divisors (see below), whose sum is σ = 19860716591872. Its totient is φ = 6874863435576.

The previous prime is 12031011012283. The next prime is 12031011012343. The reversal of 12031011012321 is 12321011013021.

12031011012321 is a `hidden beast` number, since 1 + 20 + 310 + 1 + 1 + 0 + 12 + 321 = 666.

It is not a de Polignac number, because 12031011012321 - 26 = 12031011012257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12031011012294 and 12031011012303.

It is not an unprimeable number, because it can be changed into a prime (12031011013321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95484214321 + ... + 95484214446.

Almost surely, 212031011012321 is an apocalyptic number.

It is an amenable number.

12031011012321 is a deficient number, since it is larger than the sum of its proper divisors (7829705579551).

12031011012321 is a wasteful number, since it uses less digits than its factorization.

12031011012321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190968428780 (or 190968428777 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12031011012321 its reverse (12321011013021), we get a palindrome (24352022025342).

The spelling of 12031011012321 in words is "twelve trillion, thirty-one billion, eleven million, twelve thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 63 190968428767 572905286301 1336779001369 1718715858903 4010337004107 12031011012321