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10032323000 = 235371975431
BaseRepresentation
bin10010101011111100…
…10001100110111000
3221220011120210221112
421111332101212320
5131021233314000
64335255255452
7503416224050
oct112576214670
927804523845
1010032323000
114288a91837
121b3b97a588
13c3b5c68cb
146b2578560
153dab45235
hex255f919b8

10032323000 has 128 divisors (see below), whose sum is σ = 28241740800. Its totient is φ = 3258576000.

The previous prime is 10032322987. The next prime is 10032323003. The reversal of 10032323000 is 32323001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032323003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95285 + ... + 170715.

It is an arithmetic number, because the mean of its divisors is an integer number (220638600).

Almost surely, 210032323000 is an apocalyptic number.

10032323000 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 10032323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14120870400).

10032323000 is an abundant number, since it is smaller than the sum of its proper divisors (18209417800).

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

10032323000 is a wasteful number, since it uses less digits than its factorization.

10032323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75478 (or 75464 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 10032323000 its reverse (32323001), we get a palindrome (10064646001).

Subtracting from 10032323000 its reverse (32323001), we obtain a palindrome (9999999999).

The spelling of 10032323000 in words is "ten billion, thirty-two million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 152 175 190 200 250 266 280 350 380 475 500 532 665 700 760 875 950 1000 1064 1330 1400 1750 1900 2375 2660 3325 3500 3800 4750 5320 6650 7000 9500 13300 16625 19000 26600 33250 66500 75431 133000 150862 301724 377155 528017 603448 754310 1056034 1433189 1508620 1885775 2112068 2640085 2866378 3017240 3771550 4224136 5280170 5732756 7165945 7543100 9428875 10032323 10560340 11465512 13200425 14331890 15086200 18857750 20064646 21120680 26400850 28663780 35829725 37715500 40129292 50161615 52801700 57327560 66002125 71659450 75431000 80258584 100323230 105603400 132004250 143318900 179148625 200646460 250808075 264008500 286637800 358297250 401292920 501616150 528017000 716594500 1003232300 1254040375 1433189000 2006464600 2508080750 5016161500 10032323000