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13210303200 = 253525504293
BaseRepresentation
bin11000100110110010…
…10011101011100000
31021002122111221012220
430103121103223200
5204023314200300
610022502351040
7645235503333
oct142331235340
937078457186
1013210303200
115669965356
12268812b480
131326b25873
148d467061a
15524b43da0
hex313653ae0

13210303200 has 72 divisors (see below), whose sum is σ = 42999544728. Its totient is φ = 3522746880.

The previous prime is 13210303193. The next prime is 13210303219. The reversal of 13210303200 is 230301231.

It is a super-2 number, since 2×132103032002 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13210303200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2749747 + ... + 2754546.

It is an arithmetic number, because the mean of its divisors is an integer number (597215899).

Almost surely, 213210303200 is an apocalyptic number.

13210303200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13210303200 is an abundant number, since it is smaller than the sum of its proper divisors (29789241528).

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

13210303200 is a wasteful number, since it uses less digits than its factorization.

13210303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5504316 (or 5504303 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13210303200 its reverse (230301231), we get a palindrome (13440604431).

It can be divided in two parts, 13210 and 303200, that added together give a triangular number (316410 = T795).

The spelling of 13210303200 in words is "thirteen billion, two hundred ten million, three hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 5504293 11008586 16512879 22017172 27521465 33025758 44034344 55042930 66051516 82564395 88068688 110085860 132103032 137607325 165128790 176137376 220171720 264206064 275214650 330257580 412821975 440343440 528412128 550429300 660515160 825643950 880686880 1100858600 1321030320 1651287900 2201717200 2642060640 3302575800 4403434400 6605151600 13210303200