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13320330300 = 22325267220901
BaseRepresentation
bin11000110011111010…
…00001110000111100
31021101022112220000200
430121331001300330
5204240001032200
610041432523500
7651042640134
oct143175016074
937338486020
1013320330300
115715a85342
1226b8b50590
13134386a364
14905111ac4
1552e629800
hex319f41c3c

13320330300 has 108 divisors (see below), whose sum is σ = 42375188856. Its totient is φ = 3499056000.

The previous prime is 13320330271. The next prime is 13320330307. The reversal of 13320330300 is 303302331.

13320330300 is a `hidden beast` number, since 1 + 3 + 32 + 0 + 330 + 300 = 666.

13320330300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320330307) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 50151 + ... + 170750.

Almost surely, 213320330300 is an apocalyptic number.

13320330300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13320330300 is an abundant number, since it is smaller than the sum of its proper divisors (29054858556).

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

13320330300 is a wasteful number, since it uses less digits than its factorization.

13320330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220988 (or 220978 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 13320330300 its reverse (303302331), we get a palindrome (13623632631).

The spelling of 13320330300 in words is "thirteen billion, three hundred twenty million, three hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 67 75 90 100 134 150 180 201 225 268 300 335 402 450 603 670 804 900 1005 1206 1340 1675 2010 2412 3015 3350 4020 5025 6030 6700 10050 12060 15075 20100 30150 60300 220901 441802 662703 883604 1104505 1325406 1988109 2209010 2650812 3313515 3976218 4418020 5522525 6627030 7952436 9940545 11045050 13254060 14800367 16567575 19881090 22090100 29600734 33135150 39762180 44401101 49702725 59201468 66270300 74001835 88802202 99405450 133203303 148003670 177604404 198810900 222005505 266406606 296007340 370009175 444011010 532813212 666016515 740018350 888022020 1110027525 1332033030 1480036700 2220055050 2664066060 3330082575 4440110100 6660165150 13320330300