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221330103001 = 78313126311057
BaseRepresentation
bin1100111000100001001…
…1010101101011011001
3210011021212122012001021
43032020103111223121
512111241001244001
6245402212122441
721663523556140
oct3161023255331
9704255565037
10221330103001
11859580892a7
1236a8b006421
1317b434418b7
14a9d8cc2757
155b55d79ba1
hex33884d5ad9

221330103001 has 32 divisors (see below), whose sum is σ = 258954651648. Its totient is φ = 185271141120.

The previous prime is 221330102977. The next prime is 221330103019. The reversal of 221330103001 is 100301033122.

221330103001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221330103001 - 219 = 221329578713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221330103031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20011665 + ... + 20022721.

It is an arithmetic number, because the mean of its divisors is an integer number (8092332864).

Almost surely, 2221330103001 is an apocalyptic number.

It is an amenable number.

221330103001 is a deficient number, since it is larger than the sum of its proper divisors (37624548647).

221330103001 is a wasteful number, since it uses less digits than its factorization.

221330103001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11541.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 221330103001 its reverse (100301033122), we get a palindrome (321631136123).

The spelling of 221330103001 in words is "two hundred twenty-one billion, three hundred thirty million, one hundred three thousand, one".

Divisors: 1 7 83 131 263 581 917 1841 10873 11057 21829 34453 76111 77399 152803 241171 917731 1448467 2859599 2907991 6424117 10139269 20017193 20355937 120222761 241363253 380946821 841559327 1689542771 2666627747 31618586143 221330103001