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13213322052105 = 357237197609673
BaseRepresentation
bin1100000001000111011101…
…0111100000001000001001
31201210011220010120120200010
43000101313113200020021
53212441340421131410
644034041044302133
72532426303206430
oct300216727401011
951704803516603
1013213322052105
11423481391190a
1215949b69a1949
1374b01acc8556
14339757546117
1517da97475c20
hexc04775e0209

13213322052105 has 64 divisors (see below), whose sum is σ = 25247072010240. Its totient is φ = 5769714187776.

The previous prime is 13213322052061. The next prime is 13213322052107. The reversal of 13213322052105 is 50125022331231.

It is not a de Polignac number, because 13213322052105 - 211 = 13213322050057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13213322052107) 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 63 ways as a sum of consecutive naturals, for example, 2068452 + ... + 5541221.

It is an arithmetic number, because the mean of its divisors is an integer number (394485500160).

Almost surely, 213213322052105 is an apocalyptic number.

13213322052105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13213322052105 is a deficient number, since it is larger than the sum of its proper divisors (12033749958135).

13213322052105 is a wasteful number, since it uses less digits than its factorization.

13213322052105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7610430.

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 13213322052105 its reverse (50125022331231), we get a palindrome (63338344383336).

The spelling of 13213322052105 in words is "thirteen trillion, two hundred thirteen billion, three hundred twenty-two million, fifty-two thousand, one hundred five".

Divisors: 1 3 5 7 15 21 23 35 69 105 115 161 345 483 719 805 2157 2415 3595 5033 10785 15099 16537 25165 49611 75495 82685 115759 248055 347277 578795 1736385 7609673 22829019 38048365 53267711 114145095 159803133 175022479 266338555 525067437 799015665 875112395 1225157353 2625337185 3675472059 5471354887 6125786765 16414064661 18377360295 27356774435 38299484209 82070323305 114898452627 125841162401 191497421045 377523487203 574492263135 629205812005 880888136807 1887617436015 2642664410421 4404440684035 13213322052105