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10004322500 = 225418122109
BaseRepresentation
bin10010101000100110…
…11101100011000100
3221211012220020110222
421110103131203010
5130442101310000
64332415203512
7502626223664
oct112423354304
927735806428
1010004322500
1142741a7627
121b32516598
13c35871a73
146ac96a1a4
153d8463a85
hex2544dd8c4

10004322500 has 60 divisors (see below), whose sum is σ = 21999317340. Its totient is φ = 3979440000.

The previous prime is 10004322499. The next prime is 10004322527. The reversal of 10004322500 is 522340001.

It can be written as a sum of positive squares in 10 ways, for example, as 9974815876 + 29506624 = 99874^2 + 5432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 441446 + ... + 463554.

It is an arithmetic number, because the mean of its divisors is an integer number (366655289).

Almost surely, 210004322500 is an apocalyptic number.

10004322500 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 10004322500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10999658670).

10004322500 is an abundant number, since it is smaller than the sum of its proper divisors (11994994840).

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

10004322500 is a wasteful number, since it uses less digits than its factorization.

10004322500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22314 (or 22297 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 10004322500 its reverse (522340001), we get a palindrome (10526662501).

The spelling of 10004322500 in words is "ten billion, four million, three hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 181 250 362 500 625 724 905 1250 1810 2500 3620 4525 9050 18100 22109 22625 44218 45250 88436 90500 110545 113125 221090 226250 442180 452500 552725 1105450 2210900 2763625 4001729 5527250 8003458 11054500 13818125 16006916 20008645 27636250 40017290 55272500 80034580 100043225 200086450 400172900 500216125 1000432250 2000864500 2501080625 5002161250 10004322500