Search a number
-
+
20200120111200 = 2535247179079079
BaseRepresentation
bin1001001011111001101001…
…11110111101000001100000
32122112010001002202110202010
410211330310332331001200
510121424321222024300
6110543450154352520
74153260543632211
oct445746476750140
978463032673663
1020200120111200
116488906206597
122322b0342b740
13b36b2b468613
144db996287408
152506b8b33a50
hex125f34fbd060

20200120111200 has 144 divisors (see below), whose sum is σ = 67150357102080. Its totient is φ = 5272088056320.

The previous prime is 20200120111183. The next prime is 20200120111243. The reversal of 20200120111200 is 211102100202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 89426740 + ... + 89652339.

It is an arithmetic number, because the mean of its divisors is an integer number (466321924320).

Almost surely, 220200120111200 is an apocalyptic number.

20200120111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20200120111200 is an abundant number, since it is smaller than the sum of its proper divisors (46950236990880).

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

20200120111200 is a wasteful number, since it uses less digits than its factorization.

20200120111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179079149 (or 179079136 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20200120111200 its reverse (211102100202), we get a palindrome (20411222211402).

The spelling of 20200120111200 in words is "twenty trillion, two hundred billion, one hundred twenty million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 47 48 50 60 75 80 94 96 100 120 141 150 160 188 200 235 240 282 300 376 400 470 480 564 600 705 752 800 940 1128 1175 1200 1410 1504 1880 2256 2350 2400 2820 3525 3760 4512 4700 5640 7050 7520 9400 11280 14100 18800 22560 28200 37600 56400 112800 179079079 358158158 537237237 716316316 895395395 1074474474 1432632632 1790790790 2148948948 2686186185 2865265264 3581581580 4297897896 4476976975 5372372370 5730530528 7163163160 8416716713 8595795792 8953953950 10744744740 13430930925 14326326320 16833433426 17191591584 17907907900 21489489480 25250150139 26861861850 28652652640 33666866852 35815815800 42083583565 42978978960 50500300278 53723723700 67333733704 71631631600 84167167130 85957957920 101000600556 107447447400 126250750695 134667467408 143263263200 168334334260 202001201112 210417917825 214894894800 252501501390 269334934816 336668668520 404002402224 420835835650 429789789600 505003002780 631253753475 673337337040 808004804448 841671671300 1010006005560 1262507506950 1346674674080 1683343342600 2020012011120 2525015013900 3366686685200 4040024022240 5050030027800 6733373370400 10100060055600 20200120111200