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10032334000 = 245313385859
BaseRepresentation
bin10010101011111100…
…10100010010110000
3221220011121101000221
421111332110102300
5131021234142000
64335255422424
7503416301113
oct112576242260
927804541027
1010032334000
114288a9a027
121b3b984a14
13c3b5cb910
146b257c57a
153dab4861a
hex255f944b0

10032334000 has 80 divisors (see below), whose sum is σ = 26124265440. Its totient is φ = 3704236800.

The previous prime is 10032333991. The next prime is 10032334007. The reversal of 10032334000 is 43323001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10032334007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166930 + ... + 218929.

It is an arithmetic number, because the mean of its divisors is an integer number (326553318).

Almost surely, 210032334000 is an apocalyptic number.

10032334000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032334000 is an abundant number, since it is smaller than the sum of its proper divisors (16091931440).

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

10032334000 is a wasteful number, since it uses less digits than its factorization.

10032334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385895 (or 385879 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10032334000 its reverse (43323001), we get a palindrome (10075657001).

The spelling of 10032334000 in words is "ten billion, thirty-two million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 385859 771718 1543436 1929295 3086872 3858590 5016167 6173744 7717180 9646475 10032334 15434360 19292950 20064668 25080835 30868720 38585900 40129336 48232375 50161670 77171800 80258672 96464750 100323340 125404175 154343600 192929500 200646680 250808350 385859000 401293360 501616700 627020875 771718000 1003233400 1254041750 2006466800 2508083500 5016167000 10032334000