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10003332100 = 2252175884313
BaseRepresentation
bin10010101000011111…
…01011110000000100
3221211011000220220111
421110033223300010
5130441323111400
64332342042404
7502614630346
oct112417536004
927734026814
1010003332100
114273690513
121b32119404
13c355b6028
146ac78d296
153d831a3ba
hex2543ebc04

10003332100 has 36 divisors (see below), whose sum is σ = 22984130484. Its totient is φ = 3765959680.

The previous prime is 10003332089. The next prime is 10003332113. The reversal of 10003332100 is 123330001.

It can be written as a sum of positive squares in 6 ways, for example, as 750431236 + 9252900864 = 27394^2 + 96192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2940457 + ... + 2943856.

It is an arithmetic number, because the mean of its divisors is an integer number (638448069).

Almost surely, 210003332100 is an apocalyptic number.

10003332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003332100 is an abundant number, since it is smaller than the sum of its proper divisors (12980798384).

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

10003332100 is a wasteful number, since it uses less digits than its factorization.

10003332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884344 (or 5884337 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 10003332100 its reverse (123330001), we get a palindrome (10126662101).

The spelling of 10003332100 in words is "ten billion, three million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 5884313 11768626 23537252 29421565 58843130 100033321 117686260 147107825 200066642 294215650 400133284 500166605 588431300 1000333210 2000666420 2500833025 5001666050 10003332100