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264321120200 = 235210627124363
BaseRepresentation
bin1111011000101011000…
…1000011011111001000
3221021020222211010210112
43312022301003133020
513312312201321300
6321232154533452
725045060310534
oct3661261033710
9837228733715
10264321120200
11a2109421885
1243288737288
131bc05081b07
14cb167d8bc4
156d2022de35
hex3d8ac437c8

264321120200 has 48 divisors (see below), whose sum is σ = 614609375280. Its totient is φ = 105717648960.

The previous prime is 264321120181. The next prime is 264321120221. The reversal of 264321120200 is 2021123462.

It is a happy number.

264321120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2063219 + ... + 2187581.

It is an arithmetic number, because the mean of its divisors is an integer number (12804361985).

Almost surely, 2264321120200 is an apocalyptic number.

264321120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264321120200 is an abundant number, since it is smaller than the sum of its proper divisors (350288255080).

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

264321120200 is a wasteful number, since it uses less digits than its factorization.

264321120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135006 (or 134997 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 264321120200 its reverse (2021123462), we get a palindrome (266342243662).

The spelling of 264321120200 in words is "two hundred sixty-four billion, three hundred twenty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10627 21254 42508 53135 85016 106270 124363 212540 248726 265675 425080 497452 531350 621815 994904 1062700 1243630 2125400 2487260 3109075 4974520 6218150 12436300 24872600 1321605601 2643211202 5286422404 6608028005 10572844808 13216056010 26432112020 33040140025 52864224040 66080280050 132160560100 264321120200