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13330310200 = 23521511912311
BaseRepresentation
bin11000110101000110…
…00110010000111000
31021102000022220212121
430122203012100320
5204300024411300
610042430451024
7651223524064
oct143243062070
937360286777
1013330310200
115720681399
122700363a74
131345952a1c
1490658caa4
1553044b81a
hex31a8c6438

13330310200 has 96 divisors (see below), whose sum is σ = 31375134720. Its totient is φ = 5266800000.

The previous prime is 13330310179. The next prime is 13330310209. The reversal of 13330310200 is 201303331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330310209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5767045 + ... + 5769355.

It is an arithmetic number, because the mean of its divisors is an integer number (326824320).

Almost surely, 213330310200 is an apocalyptic number.

13330310200 is a gapful number since it is divisible by the number (10) 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 13330310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15687567360).

13330310200 is an abundant number, since it is smaller than the sum of its proper divisors (18044824520).

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

13330310200 is a wasteful number, since it uses less digits than its factorization.

13330310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13330310200 its reverse (201303331), we get a palindrome (13531613531).

The spelling of 13330310200 in words is "thirteen billion, three hundred thirty million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 191 200 302 382 604 755 764 955 1208 1510 1528 1910 2311 3020 3775 3820 4622 4775 6040 7550 7640 9244 9550 11555 15100 18488 19100 23110 28841 30200 38200 46220 57682 57775 92440 115364 115550 144205 230728 231100 288410 348961 441401 462200 576820 697922 721025 882802 1153640 1395844 1442050 1744805 1765604 2207005 2791688 2884100 3489610 3531208 4414010 5768200 6979220 8724025 8828020 11035025 13958440 17448050 17656040 22070050 34896100 44140100 66651551 69792200 88280200 133303102 266606204 333257755 533212408 666515510 1333031020 1666288775 2666062040 3332577550 6665155100 13330310200