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1221310232001 = 321738453207589
BaseRepresentation
bin10001110001011011110…
…000110011010111000001
311022202102012200001122100
4101301123300303113001
5130002220404411001
62333021232501013
7154144130454216
oct21613360632701
94282365601570
101221310232001
11430a55871882
121788463aa769
138b227570942
144317c835b0d
1521b809b8586
hex11c5bc335c1

1221310232001 has 24 divisors (see below), whose sum is σ = 1867943811240. Its totient is φ = 766288682496.

The previous prime is 1221310231963. The next prime is 1221310232003. The reversal of 1221310232001 is 1002320131221.

1221310232001 is a `hidden beast` number, since 12 + 21 + 310 + 2 + 320 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113713956225 + 1107596275776 = 337215^2 + 1052424^2 .

It is not a de Polignac number, because 1221310232001 - 215 = 1221310199233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1221310232003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5779515 + ... + 5987103.

It is an arithmetic number, because the mean of its divisors is an integer number (77830992135).

Almost surely, 21221310232001 is an apocalyptic number.

It is an amenable number.

1221310232001 is a deficient number, since it is larger than the sum of its proper divisors (646633579239).

1221310232001 is a wasteful number, since it uses less digits than its factorization.

1221310232001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246065 (or 246062 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1221310232001 its reverse (1002320131221), we get a palindrome (2223630363222).

The spelling of 1221310232001 in words is "one trillion, two hundred twenty-one billion, three hundred ten million, two hundred thirty-two thousand, one".

Divisors: 1 3 9 17 51 153 38453 115359 207589 346077 622767 653701 1868301 1961103 3529013 5883309 10587039 31761117 7982419817 23947259451 71841778353 135701136889 407103410667 1221310232001