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10245205000 = 23542049041
BaseRepresentation
bin10011000101010100…
…10110110000001000
3222110000011100011001
421202222112300020
5131440233030000
64412342144344
7511612543222
oct114252266010
928400140131
1010245205000
114388173178
121b9b1220b4
13c737414a4
146d2951412
153ee69646a
hex262a96c08

10245205000 has 40 divisors (see below), whose sum is σ = 24004527030. Its totient is φ = 4098080000.

The previous prime is 10245204979. The next prime is 10245205001. The reversal of 10245205000 is 50254201.

It can be written as a sum of positive squares in 5 ways, for example, as 261598276 + 9983606724 = 16174^2 + 99918^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (10245205001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1019521 + ... + 1029520.

Almost surely, 210245205000 is an apocalyptic number.

10245205000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10245205000 is an abundant number, since it is smaller than the sum of its proper divisors (13759322030).

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

10245205000 is an equidigital number, since it uses as much as digits as its factorization.

10245205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049067 (or 2049048 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

Adding to 10245205000 its reverse (50254201), we get a palindrome (10295459201).

The spelling of 10245205000 in words is "ten billion, two hundred forty-five million, two hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 2049041 4098082 8196164 10245205 16392328 20490410 40980820 51226025 81961640 102452050 204904100 256130125 409808200 512260250 1024520500 1280650625 2049041000 2561301250 5122602500 10245205000