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13311320010 = 23519193121001
BaseRepresentation
bin11000110010110101…
…01001111111001010
31021100200121010020020
430121122221333022
5204230144220020
610040511441310
7650603232102
oct143132517712
937320533206
1013311320010
11571099081a
1226b5b26236
131341a34121
14903c48202
1552d949c40
hex3196a9fca

13311320010 has 64 divisors (see below), whose sum is σ = 33803118720. Its totient is φ = 3345408000.

The previous prime is 13311319999. The next prime is 13311320017. The reversal of 13311320010 is 1002311331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13311320017) 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, 49510 + ... + 170510.

It is an arithmetic number, because the mean of its divisors is an integer number (528173730).

Almost surely, 213311320010 is an apocalyptic number.

13311320010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311320010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16901559360).

13311320010 is an abundant number, since it is smaller than the sum of its proper divisors (20491798710).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13311320010 is a wasteful number, since it uses less digits than its factorization.

13311320010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121223.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13311320010 its reverse (1002311331), we get a palindrome (14313631341).

The spelling of 13311320010 in words is "thirteen billion, three hundred eleven million, three hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 193 285 386 570 579 965 1158 1930 2895 3667 5790 7334 11001 18335 22002 36670 55005 110010 121001 242002 363003 605005 726006 1210010 1815015 2299019 3630030 4598038 6897057 11495095 13794114 22990190 23353193 34485285 46706386 68970570 70059579 116765965 140119158 233531930 350297895 443710667 700595790 887421334 1331132001 2218553335 2662264002 4437106670 6655660005 13311320010