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11301313030200 = 23325223326946383
BaseRepresentation
bin1010010001110100101010…
…1111111010100000111000
31111000101122221021112212200
42210131022233322200320
52440130042113431300
640011430155310200
72244331033526244
oct244351257724070
944011587245780
1011301313030200
113667950643236
12132632aa4b360
1363c92b2a07bb
142b0db4c2b424
15148e8e27e200
hexa474abfa838

11301313030200 has 144 divisors (see below), whose sum is σ = 38116468559520. Its totient is φ = 3000749099520.

The previous prime is 11301313030129. The next prime is 11301313030207. The reversal of 11301313030200 is 203031310311.

It is a happy number.

11301313030200 is a `hidden beast` number, since 1 + 1 + 30 + 131 + 303 + 0 + 200 = 666.

11301313030200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113013130302002 (a number of 27 digits) contains 22 as substring.

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 (11301313030207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13053792 + ... + 13892591.

It is an arithmetic number, because the mean of its divisors is an integer number (264697698330).

Almost surely, 211301313030200 is an apocalyptic number.

11301313030200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11301313030200 is an abundant number, since it is smaller than the sum of its proper divisors (26815155529320).

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

11301313030200 is a wasteful number, since it uses less digits than its factorization.

11301313030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26946638 (or 26946626 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11301313030200 its reverse (203031310311), we get a palindrome (11504344340511).

The spelling of 11301313030200 in words is "eleven trillion, three hundred one billion, three hundred thirteen million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 233 300 360 450 466 600 699 900 932 1165 1398 1800 1864 2097 2330 2796 3495 4194 4660 5592 5825 6990 8388 9320 10485 11650 13980 16776 17475 20970 23300 27960 34950 41940 46600 52425 69900 83880 104850 139800 209700 419400 26946383 53892766 80839149 107785532 134731915 161678298 215571064 242517447 269463830 323356596 404195745 485034894 538927660 646713192 673659575 808391490 970069788 1077855320 1212587235 1347319150 1616782980 1940139576 2020978725 2425174470 2694638300 3233565960 4041957450 4850348940 5389276600 6062936175 6278507239 8083914900 9700697880 12125872350 12557014478 16167829800 18835521717 24251744700 25114028956 31392536195 37671043434 48503489400 50228057912 56506565151 62785072390 75342086868 94177608585 113013130302 125570144780 150684173736 156962680975 188355217170 226026260604 251140289560 282532825755 313925361950 376710434340 452052521208 470888042925 565065651510 627850723900 753420868680 941776085850 1130131303020 1255701447800 1412664128775 1883552171700 2260262606040 2825328257550 3767104343400 5650656515100 11301313030200