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204543531120 = 24355871451899
BaseRepresentation
bin1011111001111110111…
…1101001100001110000
3201112221222201222110210
42332133233221201300
511322401120443440
6233544353424120
720530531220265
oct2763757514160
9645858658423
10204543531120
11798235443a5
123378526b040
1316399727826
149c856bd26c
1554c22b0a80
hex2f9fbe9870

204543531120 has 80 divisors (see below), whose sum is σ = 635165596800. Its totient is φ = 54451982592.

The previous prime is 204543531083. The next prime is 204543531121. The reversal of 204543531120 is 21135345402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2045435311202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204543531121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 585070 + ... + 866829.

It is an arithmetic number, because the mean of its divisors is an integer number (7939569960).

Almost surely, 2204543531120 is an apocalyptic number.

204543531120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204543531120 is an abundant number, since it is smaller than the sum of its proper divisors (430622065680).

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

204543531120 is a wasteful number, since it uses less digits than its factorization.

204543531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452502 (or 1452496 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 204543531120 its reverse (21135345402), we get a palindrome (225678876522).

The spelling of 204543531120 in words is "two hundred four billion, five hundred forty-three million, five hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 587 1174 1761 2348 2935 3522 4696 5870 7044 8805 9392 11740 14088 17610 23480 28176 35220 46960 70440 140880 1451899 2903798 4355697 5807596 7259495 8711394 11615192 14518990 17422788 21778485 23230384 29037980 34845576 43556970 58075960 69691152 87113940 116151920 174227880 348455760 852264713 1704529426 2556794139 3409058852 4261323565 5113588278 6818117704 8522647130 10227176556 12783970695 13636235408 17045294260 20454353112 25567941390 34090588520 40908706224 51135882780 68181177040 102271765560 204543531120