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1341101200300 = 2252171971584791
BaseRepresentation
bin10011100000111111110…
…111000101001110101100
311202012121122111202112221
4103200333313011032230
5133433033401402200
62504032101005124
7165614511054601
oct23407767051654
94665548452487
101341101200300
11477837735324
12197ab80b37a4
139960835aac4
1448ca40c86a8
1524d4242d91a
hex1383fdc53ac

1341101200300 has 144 divisors (see below), whose sum is σ = 3289244474880. Its totient is φ = 471574656000.

The previous prime is 1341101200279. The next prime is 1341101200403. The reversal of 1341101200300 is 30021011431.

It is a super-2 number, since 2×13411012003002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2000905 + ... + 2585695.

It is an arithmetic number, because the mean of its divisors is an integer number (22841975520).

Almost surely, 21341101200300 is an apocalyptic number.

1341101200300 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 1341101200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644622237440).

1341101200300 is an abundant number, since it is smaller than the sum of its proper divisors (1948143274580).

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

1341101200300 is a wasteful number, since it uses less digits than its factorization.

1341101200300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584912 (or 584905 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1341101200300 its reverse (30021011431), we get a palindrome (1371122211731).

The spelling of 1341101200300 in words is "one trillion, three hundred forty-one billion, one hundred one million, two hundred thousand, three hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 71 76 85 95 100 142 170 190 284 323 340 355 380 425 475 646 710 850 950 1207 1292 1349 1420 1615 1700 1775 1900 2414 2698 3230 3550 4828 5396 6035 6460 6745 7100 8075 12070 13490 16150 22933 24140 26980 30175 32300 33725 45866 60350 67450 91732 114665 120700 134900 229330 458660 573325 584791 1146650 1169582 2293300 2339164 2923955 5847910 9941447 11111029 11695820 14619775 19882894 22222058 29239550 39765788 41520161 44444116 49707235 55555145 58479100 83040322 99414470 111110290 166080644 188887493 198828940 207600805 222220580 248536175 277775725 377774986 415201610 497072350 555551450 705842737 755549972 788883059 830403220 944437465 994144700 1038004025 1111102900 1411685474 1577766118 1888874930 2076008050 2823370948 3155532236 3529213685 3777749860 3944415295 4152016100 4722187325 7058427370 7888830590 9444374650 13411012003 14116854740 15777661180 17646068425 18888749300 19722076475 26822024006 35292136850 39444152950 53644048012 67055060015 70584273700 78888305900 134110120030 268220240060 335275300075 670550600150 1341101200300