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13322330021 = 7112137117041
BaseRepresentation
bin11000110100001001…
…01001111110100101
31021101110022111010102
430122010221332211
5204241004030041
610041543433445
7651065636210
oct143204517645
937343274112
1013322330021
115717120800
1226b9755885
1313440ba620
149054b2777
1552e8c209b
hex31a129fa5

13322330021 has 48 divisors (see below), whose sum is σ = 18277749504. Its totient is φ = 9446976000.

The previous prime is 13322330009. The next prime is 13322330023. The reversal of 13322330021 is 12003322331.

13322330021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13322330021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13322329975 and 13322330002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322330023) 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 47 ways as a sum of consecutive naturals, for example, 773261 + ... + 790301.

It is an arithmetic number, because the mean of its divisors is an integer number (380786448).

Almost surely, 213322330021 is an apocalyptic number.

13322330021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13322330021 is a deficient number, since it is larger than the sum of its proper divisors (4955419483).

13322330021 is a wasteful number, since it uses less digits than its factorization.

13322330021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17154 (or 17143 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13322330021 its reverse (12003322331), we get a palindrome (25325652352).

It can be divided in two parts, 13322 and 330021, that added together give a palindrome (343343).

The spelling of 13322330021 in words is "thirteen billion, three hundred twenty-two million, three hundred thirty thousand, twenty-one".

Divisors: 1 7 11 13 71 77 91 121 143 497 781 847 923 1001 1573 5467 6461 8591 10153 11011 17041 60137 71071 111683 119287 187451 221533 781781 1209911 1312157 1550731 2061961 2436863 8469377 13309021 14433727 15728843 17058041 26805493 93163147 110101901 146399231 173017273 187638451 1024794617 1211120911 1903190003 13322330021