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13300300030320 = 2432561333012007
BaseRepresentation
bin1100000110001011011110…
…1010001010000101110000
31202002111101202222200020200
43001202313222022011300
53220403003301432240
644142023512235200
72541625555631022
oct301426752120560
952074352880220
1013300300030320
1142686976a1236
1215a982b69bb00
1375629c9c5854
1433da48d48012
15180e8835d930
hexc18b7a8a170

13300300030320 has 120 divisors (see below), whose sum is σ = 44674138800096. Its totient is φ = 3546167192064.

The previous prime is 13300300030261. The next prime is 13300300030343. The reversal of 13300300030320 is 2303000300331.

13300300030320 is a `hidden beast` number, since 1 + 3 + 300 + 300 + 0 + 30 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 13300300030293 and 13300300030302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2909757 + ... + 5921763.

Almost surely, 213300300030320 is an apocalyptic number.

13300300030320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300300030320 is an abundant number, since it is smaller than the sum of its proper divisors (31373838769776).

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

13300300030320 is a wasteful number, since it uses less digits than its factorization.

13300300030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018159 (or 3018150 counting only the distinct ones).

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

Adding to 13300300030320 its reverse (2303000300331), we get a palindrome (15603300330651).

The spelling of 13300300030320 in words is "thirteen trillion, three hundred billion, three hundred million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 6133 12266 18399 24532 30665 36798 49064 55197 61330 73596 91995 98128 110394 122660 147192 183990 220788 245320 275985 294384 367980 441576 490640 551970 735960 883152 1103940 1471920 2207880 3012007 4415760 6024014 9036021 12048028 15060035 18072042 24096056 27108063 30120070 36144084 45180105 48192112 54216126 60240140 72288168 90360210 108432252 120480280 135540315 144576336 180720420 216864504 240960560 271080630 361440840 433729008 542161260 722881680 1084322520 2168645040 18472638931 36945277862 55417916793 73890555724 92363194655 110835833586 147781111448 166253750379 184726389310 221671667172 277089583965 295562222896 332507500758 369452778620 443343334344 554179167930 665015001516 738905557240 831268751895 886686668688 1108358335860 1330030003032 1477811114480 1662537503790 2216716671720 2660060006064 3325075007580 4433433343440 6650150015160 13300300030320