Search a number
-
+
11301203020500 = 22325310932297693
BaseRepresentation
bin1010010001110100010000…
…1100010000101011010100
31111000101101021021110221100
42210131010030100223110
52440124330433124000
640011411225350100
72244325226464251
oct244350414205324
944011337243840
1011301203020500
1136678a4535328
1213262ba038330
1363c911563bc3
142b0da4392428
15148e8479da00
hexa4744310ad4

11301203020500 has 144 divisors (see below), whose sum is σ = 35684162042256. Its totient is φ = 3010895596800.

The previous prime is 11301203020493. The next prime is 11301203020517. The reversal of 11301203020500 is 502030210311.

11301203020500 is a `hidden beast` number, since 1 + 13 + 0 + 120 + 30 + 2 + 0 + 500 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 33405603984 + 11267797416516 = 182772^2 + 3356754^2 .

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3769654 + ... + 6067346.

It is an arithmetic number, because the mean of its divisors is an integer number (247806680849).

Almost surely, 211301203020500 is an apocalyptic number.

11301203020500 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 11301203020500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17842081021128).

11301203020500 is an abundant number, since it is smaller than the sum of its proper divisors (24382959021756).

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

11301203020500 is a wasteful number, since it uses less digits than its factorization.

11301203020500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298811 (or 2298796 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 11301203020500 its reverse (502030210311), we get a palindrome (11803233230811).

The spelling of 11301203020500 in words is "eleven trillion, three hundred one billion, two hundred three million, twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 750 900 1093 1125 1500 2186 2250 3279 4372 4500 5465 6558 9837 10930 13116 16395 19674 21860 27325 32790 39348 49185 54650 65580 81975 98370 109300 136625 163950 196740 245925 273250 327900 409875 491850 546500 819750 983700 1229625 1639500 2297693 2459250 4595386 4918500 6893079 9190772 11488465 13786158 20679237 22976930 27572316 34465395 41358474 45953860 57442325 68930790 82716948 103396185 114884650 137861580 172326975 206792370 229769300 287211625 344653950 413584740 516980925 574423250 689307900 861634875 1033961850 1148846500 1723269750 2067923700 2511378449 2584904625 3446539500 5022756898 5169809250 7534135347 10045513796 10339618500 12556892245 15068270694 22602406041 25113784490 30136541388 37670676735 45204812082 50227568980 62784461225 75341353470 90409624164 113012030205 125568922450 150682706940 188353383675 226024060410 251137844900 313922306125 376706767350 452048120820 565060151025 627844612250 753413534700 941766918375 1130120302050 1255689224500 1883533836750 2260240604100 2825300755125 3767067673500 5650601510250 11301203020500