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12350728900 = 2252123507289
BaseRepresentation
bin10111000000010100…
…10010101011000100
31011212202002000221201
423200022102223010
5200243241311100
65401314552244
7615030314656
oct134012225304
934782060851
1012350728900
115268734474
122488298684
13121aa14713
148524386d6
154c445036a
hex2e0292ac4

12350728900 has 18 divisors (see below), whose sum is σ = 26801081930. Its totient is φ = 4940291520.

The previous prime is 12350728883. The next prime is 12350728963. The reversal of 12350728900 is 982705321.

It can be written as a sum of positive squares in 3 ways, for example, as 2387495044 + 9963233856 = 48862^2 + 99816^2 .

It is a super-2 number, since 2×123507289002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12350728900.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 61753545 + ... + 61753744.

Almost surely, 212350728900 is an apocalyptic number.

12350728900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12350728900 is an abundant number, since it is smaller than the sum of its proper divisors (14450353030).

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

12350728900 is a wasteful number, since it uses less digits than its factorization.

12350728900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123507303 (or 123507296 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 12350728900 in words is "twelve billion, three hundred fifty million, seven hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 123507289 247014578 494029156 617536445 1235072890 2470145780 3087682225 6175364450 12350728900