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13300303202300 = 22521911649342221
BaseRepresentation
bin1100000110001011011111…
…0110010000011111111100
31202002111101222221211101102
43001202313312100133330
53220403010104433200
644142024104232232
72541625624611542
oct301426766203774
952074358854342
1013300303202300
114268699468404
1215a983076b678
137562a056656a
1433da49531d92
15180e887886d5
hexc18b7d907fc

13300303202300 has 72 divisors (see below), whose sum is σ = 29015212407552. Its totient is φ = 5291821024000.

The previous prime is 13300303202213. The next prime is 13300303202327. The reversal of 13300303202300 is 320230300331.

It is a super-2 number, since 2×133003032023002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314995190 + ... + 315037410.

It is an arithmetic number, because the mean of its divisors is an integer number (402989061216).

Almost surely, 213300303202300 is an apocalyptic number.

13300303202300 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 13300303202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14507606203776).

13300303202300 is an abundant number, since it is smaller than the sum of its proper divisors (15714909205252).

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

13300303202300 is a wasteful number, since it uses less digits than its factorization.

13300303202300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58919 (or 58912 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 13300303202300 its reverse (320230300331), we get a palindrome (13620533502631).

The spelling of 13300303202300 in words is "thirteen trillion, three hundred billion, three hundred three million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 955 1910 3820 4775 9550 16493 19100 32986 42221 65972 82465 84442 164930 168884 211105 329860 412325 422210 824650 844420 1055525 1649300 2111050 3150163 4222100 6300326 8064211 12600652 15750815 16128422 31501630 32256844 40321055 63003260 78754075 80642110 157508150 161284220 201605275 315016300 403210550 696350953 806421100 1392701906 2785403812 3481754765 6963509530 13927019060 17408773825 34817547650 69635095300 133003032023 266006064046 532012128092 665015160115 1330030320230 2660060640460 3325075800575 6650151601150 13300303202300