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22102003223101 = 1711315775179749
BaseRepresentation
bin1010000011010000001100…
…00011010000101000111101
32220020221010121100222100201
411001220012003100220331
510344104400311114401
6115001304202123501
74440550146433024
oct501500603205075
986227117328321
1022102003223101
1170514526920aa
12258b6241b0591
13c4429638cc49
14565a57c258bb
15284dccd9ab01
hex141a060d0a3d

22102003223101 has 32 divisors (see below), whose sum is σ = 23765194908000. Its totient is φ = 20481647886336.

The previous prime is 22102003223077. The next prime is 22102003223141. The reversal of 22102003223101 is 10132230020122.

It can be written as a sum of positive squares in 16 ways, for example, as 7261402700601 + 14840600522500 = 2694699^2 + 3852350^2 .

It is a cyclic number.

It is not a de Polignac number, because 22102003223101 - 231 = 22099855739453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102003223141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2267099775 + ... + 2267109523.

It is an arithmetic number, because the mean of its divisors is an integer number (742662340875).

Almost surely, 222102003223101 is an apocalyptic number.

It is an amenable number.

22102003223101 is a deficient number, since it is larger than the sum of its proper divisors (1663191684899).

22102003223101 is a wasteful number, since it uses less digits than its factorization.

22102003223101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17553.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 22102003223101 its reverse (10132230020122), we get a palindrome (32234233243223).

The spelling of 22102003223101 in words is "twenty-two trillion, one hundred two billion, three million, two hundred twenty-three thousand, one hundred one".

Divisors: 1 17 113 157 1921 2669 7517 9749 17741 127789 165733 301597 849421 1101637 1180169 1530593 14440157 18727829 20062873 26020081 73283233 133359097 172957009 1245814961 2267104649 2940269153 8281005329 11505467581 140777090593 195592948877 1300117836653 22102003223101