Search a number
-
+
20133120310000 = 24543304960919
BaseRepresentation
bin1001001001111100110110…
…11110111111101011110000
32122021201002202210220220121
410210332123132333223300
510114330112244410000
6110453010000220024
74145366330003635
oct444763336775360
978251082726817
1020133120310000
116462454600265
122311b2530a614
13b30711774b39
144d863bcca18c
1524da96b05b1a
hex124f9b7bfaf0

20133120310000 has 100 divisors (see below), whose sum is σ = 48746572666000. Its totient is φ = 8052872256000.

The previous prime is 20133120309997. The next prime is 20133120310081. The reversal of 20133120310000 is 1302133102.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×201331203100002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 330459541 + ... + 330520459.

It is an arithmetic number, because the mean of its divisors is an integer number (487465726660).

Almost surely, 220133120310000 is an apocalyptic number.

20133120310000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20133120310000 is an abundant number, since it is smaller than the sum of its proper divisors (28613452356000).

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

20133120310000 is an equidigital number, since it uses as much as digits as its factorization.

20133120310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93996 (or 93975 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 20133120310000 its reverse (1302133102), we get a palindrome (20134422443102).

The spelling of 20133120310000 in words is "twenty trillion, one hundred thirty-three billion, one hundred twenty million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 33049 60919 66098 121838 132196 165245 243676 264392 304595 330490 487352 528784 609190 660980 826225 974704 1218380 1321960 1522975 1652450 2436760 2643920 3045950 3304900 4131125 4873520 6091900 6609800 7614875 8262250 12183800 13219600 15229750 16524500 20655625 24367600 30459500 33049000 38074375 41311250 60919000 66098000 76148750 82622500 121838000 152297500 165245000 304595000 330490000 609190000 2013312031 4026624062 8053248124 10066560155 16106496248 20133120310 32212992496 40266240620 50332800775 80532481240 100665601550 161064962480 201331203100 251664003875 402662406200 503328007750 805324812400 1006656015500 1258320019375 2013312031000 2516640038750 4026624062000 5033280077500 10066560155000 20133120310000