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201324040000 = 265423921059
BaseRepresentation
bin1011101101111111011…
…0010000111101000000
3201020122121200212220221
42323133312100331000
511244302423240000
6232253104512424
720354666050636
oct2733766207500
9636577625827
10201324040000
1178421199036
123302701b714
1315ca57233b5
149a5bc9d356
15538481261a
hex2edfd90f40

201324040000 has 140 divisors (see below), whose sum is σ = 501330772800. Its totient is φ = 80188864000.

The previous prime is 201324039997. The next prime is 201324040009. The reversal of 201324040000 is 40423102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201324040009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9549471 + ... + 9570529.

Almost surely, 2201324040000 is an apocalyptic number.

201324040000 is a gapful number since it is divisible by the number (20) 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 201324040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250665386400).

201324040000 is an abundant number, since it is smaller than the sum of its proper divisors (300006732800).

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

201324040000 is an equidigital number, since it uses as much as digits as its factorization.

201324040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21330 (or 21305 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 201324040000 its reverse (40423102), we get a palindrome (201364463102).

The spelling of 201324040000 in words is "two hundred one billion, three hundred twenty-four million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 239 250 320 400 478 500 625 800 956 1000 1195 1250 1600 1912 2000 2390 2500 3824 4000 4780 5000 5975 7648 8000 9560 10000 11950 15296 19120 20000 21059 23900 29875 38240 40000 42118 47800 59750 76480 84236 95600 105295 119500 149375 168472 191200 210590 239000 298750 336944 382400 421180 478000 526475 597500 673888 842360 956000 1052950 1195000 1347776 1684720 1912000 2105900 2390000 2632375 3369440 4211800 4780000 5033101 5264750 6738880 8423600 9560000 10066202 10529500 13161875 16847200 20132404 21059000 25165505 26323750 33694400 40264808 42118000 50331010 52647500 80529616 84236000 100662020 105295000 125827525 161059232 168472000 201324040 210590000 251655050 322118464 402648080 421180000 503310100 629137625 805296160 842360000 1006620200 1258275250 1610592320 2013240400 2516550500 3145688125 4026480800 5033101000 6291376250 8052961600 10066202000 12582752500 20132404000 25165505000 40264808000 50331010000 100662020000 201324040000