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20130233404001 = 7314713011517099
BaseRepresentation
bin1001001001110111011110…
…11010010100101001100001
32122021102122120120220101012
410210323233122110221201
510114303204222412001
6110451411311550305
74145234643500240
oct444735732245141
978242576526335
1020130233404001
116461202a65036
12231145a52b395
13b3037163a036
144d8446722957
1524d9784512bb
hex124eef694a61

20130233404001 has 32 divisors (see below), whose sum is σ = 24272046489600. Its totient is φ = 16330042872000.

The previous prime is 20130233403961. The next prime is 20130233404003. The reversal of 20130233404001 is 10040433203102.

It is a cyclic number.

It is not a de Polignac number, because 20130233404001 - 222 = 20130229209697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20130233404003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12510350 + ... + 14027448.

It is an arithmetic number, because the mean of its divisors is an integer number (758501452800).

Almost surely, 220130233404001 is an apocalyptic number.

It is an amenable number.

20130233404001 is a deficient number, since it is larger than the sum of its proper divisors (4141813085599).

20130233404001 is a wasteful number, since it uses less digits than its factorization.

20130233404001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518485.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 20130233404001 its reverse (10040433203102), we get a palindrome (30170666607103).

The spelling of 20130233404001 in words is "twenty trillion, one hundred thirty billion, two hundred thirty-three million, four hundred four thousand, one".

Divisors: 1 7 31 47 217 329 1301 1457 9107 10199 40331 61147 282317 428029 1517099 1895557 10619693 13268899 47030069 71303653 329210483 499125571 1973745799 2210413243 13816220593 15472892701 61186119769 92766052553 428302838383 649362367871 2875747629143 20130233404001