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13003301112 = 2335310399839
BaseRepresentation
bin11000001110000111…
…01010000011111000
31020120020000010201220
430013003222003320
5203112321113422
65550145512040
7640143143604
oct140703520370
936506003656
1013003301112
11557302a64a
12262a942620
1312c2c89419
148b4d88504
155118a4e5c
hex3070ea0f8

13003301112 has 64 divisors (see below), whose sum is σ = 33156864000. Its totient is φ = 4248127104.

The previous prime is 13003301099. The next prime is 13003301117. The reversal of 13003301112 is 21110330031.

It is a junction number, because it is equal to n+sod(n) for n = 13003301091 and 13003301100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003301117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1316689 + ... + 1326527.

It is an arithmetic number, because the mean of its divisors is an integer number (518076000).

Almost surely, 213003301112 is an apocalyptic number.

13003301112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13003301112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16578432000).

13003301112 is an abundant number, since it is smaller than the sum of its proper divisors (20153562888).

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

13003301112 is a wasteful number, since it uses less digits than its factorization.

13003301112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10940 (or 10936 counting only the distinct ones).

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

Adding to 13003301112 its reverse (21110330031), we get a palindrome (34113631143).

The spelling of 13003301112 in words is "thirteen billion, three million, three hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1039 1272 2078 3117 4156 6234 8312 9839 12468 19678 24936 29517 39356 55067 59034 78712 110134 118068 165201 220268 236136 330402 440536 521467 660804 1042934 1321608 1564401 2085868 3128802 4171736 6257604 10222721 12515208 20445442 30668163 40890884 61336326 81781768 122672652 245345304 541804213 1083608426 1625412639 2167216852 3250825278 4334433704 6501650556 13003301112