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10103242304 = 26415776673
BaseRepresentation
bin10010110100011001…
…10011111001000000
3222002010000212221102
421122030303321000
5131142412223204
64350311313532
7505240066631
oct113214637100
928063025842
1010103242304
114315020531
121b5b67b8a8
13c501c79ac
146bbb59888
153e1ea341e
hex25a333e40

10103242304 has 56 divisors (see below), whose sum is σ = 20576289048. Its totient is φ = 4919132160.

The previous prime is 10103242301. The next prime is 10103242321. The reversal of 10103242304 is 40324230101.

It can be written as a sum of positive squares in 4 ways, for example, as 270536704 + 9832705600 = 16448^2 + 99160^2 .

It is not an unprimeable number, because it can be changed into a prime (10103242301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1510712 + ... + 1517384.

It is an arithmetic number, because the mean of its divisors is an integer number (367433733).

Almost surely, 210103242304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10288144524).

10103242304 is an abundant number, since it is smaller than the sum of its proper divisors (10473046744).

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

10103242304 is an equidigital number, since it uses as much as digits as its factorization.

10103242304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7303 (or 7293 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10103242304 its reverse (40324230101), we get a palindrome (50427472405).

The spelling of 10103242304 in words is "ten billion, one hundred three million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 577 656 1154 1312 2308 2624 4616 6673 9232 13346 18464 23657 26692 36928 47314 53384 94628 106768 189256 213536 273593 378512 427072 547186 757024 1094372 1514048 2188744 3850321 4377488 7700642 8754976 15401284 17509952 30802568 61605136 123210272 157863161 246420544 315726322 631452644 1262905288 2525810576 5051621152 10103242304