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10712189000 = 235310712189
BaseRepresentation
bin10011111100111111…
…10000100001001000
31000122112212120202202
421332133300201020
5133414310022000
64530543215332
7526313050502
oct117637604110
930575776682
1010712189000
1145a782a167
1220ab5a7548
131019406896
14738990d72
1542a68bdd5
hex27e7f0848

10712189000 has 32 divisors (see below), whose sum is σ = 25066524600. Its totient is φ = 4284875200.

The previous prime is 10712188957. The next prime is 10712189009. The reversal of 10712189000 is 98121701.

10712189000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2079177604 + 8633011396 = 45598^2 + 92914^2 .

It is a super-2 number, since 2×107121890002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10712189009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5355095 + ... + 5357094.

Almost surely, 210712189000 is an apocalyptic number.

10712189000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10712189000 is an abundant number, since it is smaller than the sum of its proper divisors (14354335600).

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

10712189000 is a wasteful number, since it uses less digits than its factorization.

10712189000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10712210 (or 10712196 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 29.

The spelling of 10712189000 in words is "ten billion, seven hundred twelve million, one hundred eighty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 10712189 21424378 42848756 53560945 85697512 107121890 214243780 267804725 428487560 535609450 1071218900 1339023625 2142437800 2678047250 5356094500 10712189000