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20110432000 = 28533971583
BaseRepresentation
bin10010101110101011…
…001101011100000000
31220220112022210110211
4102232223031130000
5312141232311000
613123312203504
71311232565041
oct225653153400
956815283424
1020110432000
11858a8a623a
123a92b39594
131b86531809
14d8ac308c8
157ca7d17ba
hex4aeacd700

20110432000 has 144 divisors (see below), whose sum is σ = 50255517312. Its totient is φ = 8018841600.

The previous prime is 20110431997. The next prime is 20110432009. The reversal of 20110432000 is 23401102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110432009) 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, 12703209 + ... + 12704791.

It is an arithmetic number, because the mean of its divisors is an integer number (348996648).

Almost surely, 220110432000 is an apocalyptic number.

20110432000 is a gapful number since it is divisible by the number (20) 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 20110432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25127758656).

20110432000 is an abundant number, since it is smaller than the sum of its proper divisors (30145085312).

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

20110432000 is an equidigital number, since it uses as much as digits as its factorization.

20110432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20110432000 its reverse (23401102), we get a palindrome (20133833102).

The spelling of 20110432000 in words is "twenty billion, one hundred ten million, four hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 397 400 500 640 794 800 1000 1280 1583 1588 1600 1985 2000 3166 3176 3200 3970 4000 6332 6352 6400 7915 7940 8000 9925 12664 12704 15830 15880 16000 19850 25328 25408 31660 31760 32000 39575 39700 49625 50656 50816 63320 63520 79150 79400 99250 101312 101632 126640 127040 158300 158800 197875 198500 202624 253280 254080 316600 317600 395750 397000 405248 506560 508160 628451 633200 635200 791500 794000 1013120 1256902 1266400 1270400 1583000 1588000 2026240 2513804 2532800 2540800 3142255 3166000 3176000 5027608 5065600 6284510 6332000 6352000 10055216 10131200 12569020 12664000 12704000 15711275 20110432 25138040 25328000 31422550 40220864 50276080 50656000 62845100 78556375 80441728 100552160 125690200 157112750 160883456 201104320 251380400 314225500 402208640 502760800 628451000 804417280 1005521600 1256902000 2011043200 2513804000 4022086400 5027608000 10055216000 20110432000