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10023320100300 = 2235213231493592089
BaseRepresentation
bin1001000111011011110001…
…1011110001110111001100
31022111012221102010002110220
42101312330123301313030
52303210224421202200
633152352155431340
72053106134051023
oct221667433616714
938435842102426
1010023320100300
113214958986591
12115a705755550
1357926c632440
142691ba3438ba
15125ae23d24a0
hex91dbc6f1dcc

10023320100300 has 576 divisors, whose sum is σ = 32915393280000. Its totient is φ = 2336518103040.

The previous prime is 10023320100281. The next prime is 10023320100331. The reversal of 10023320100300 is 300102332001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10023320100300.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4798141656 + ... + 4798143744.

It is an arithmetic number, because the mean of its divisors is an integer number (57144780000).

Almost surely, 210023320100300 is an apocalyptic number.

10023320100300 is a gapful number since it is divisible by the number (10) 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 10023320100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16457696640000).

10023320100300 is an abundant number, since it is smaller than the sum of its proper divisors (22892073179700).

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

10023320100300 is a wasteful number, since it uses less digits than its factorization.

10023320100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10023320100300 its reverse (300102332001), we get a palindrome (10323422432301).

The spelling of 10023320100300 in words is "ten trillion, twenty-three billion, three hundred twenty million, one hundred thousand, three hundred".