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10002323300 = 2252293449077
BaseRepresentation
bin10010101000010111…
…10101011101100100
3221211002010200002112
421110023311131210
5130441043321200
64332304300152
7502603226264
oct112413653544
927732120075
1010002323300
1142730615a2
121b31911658
13c35321ac8
146ac5a97a4
153d81bb535
hex2542f5764

10002323300 has 36 divisors (see below), whose sum is σ = 22453497780. Its totient is φ = 3862965120.

The previous prime is 10002323291. The next prime is 10002323323. The reversal of 10002323300 is 332320001.

10002323300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 283518244 + 9718805056 = 16838^2 + 98584^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1721639 + ... + 1727438.

Almost surely, 210002323300 is an apocalyptic number.

10002323300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002323300 is an abundant number, since it is smaller than the sum of its proper divisors (12451174480).

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

10002323300 is a wasteful number, since it uses less digits than its factorization.

10002323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449120 (or 3449113 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 10002323300 its reverse (332320001), we get a palindrome (10334643301).

The spelling of 10002323300 in words is "ten billion, two million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 3449077 6898154 13796308 17245385 34490770 68981540 86226925 100023233 172453850 200046466 344907700 400092932 500116165 1000232330 2000464660 2500580825 5001161650 10002323300