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13310003100 = 22352175325309
BaseRepresentation
bin11000110010101011…
…01000011110011100
31021100121010012202210
430121111220132130
5204224330044400
610040423320420
7650556105522
oct143125503634
937317105683
1013310003100
115710171369
1226b55b0110
1313416928a4
149039c4312
1552d789950
hex31956879c

13310003100 has 72 divisors (see below), whose sum is σ = 38533766320. Its totient is φ = 3547169280.

The previous prime is 13310003033. The next prime is 13310003111. The reversal of 13310003100 is 130001331.

13310003100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133100031002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 513246 + ... + 538554.

Almost surely, 213310003100 is an apocalyptic number.

13310003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310003100 is an abundant number, since it is smaller than the sum of its proper divisors (25223763220).

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

13310003100 is a wasteful number, since it uses less digits than its factorization.

13310003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27079 (or 27072 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13310003100 its reverse (130001331), we get a palindrome (13440004431).

The spelling of 13310003100 in words is "thirteen billion, three hundred ten million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1753 3506 5259 7012 8765 10518 17530 21036 25309 26295 35060 43825 50618 52590 75927 87650 101236 105180 126545 131475 151854 175300 253090 262950 303708 379635 506180 525900 632725 759270 1265450 1518540 1898175 2530900 3796350 7592700 44366677 88733354 133100031 177466708 221833385 266200062 443666770 532400124 665500155 887333540 1109166925 1331000310 2218333850 2662000620 3327500775 4436667700 6655001550 13310003100