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20100020000 = 25544721383
BaseRepresentation
bin10010101110000011…
…011111011100100000
31220212210201210220012
4102232003133130200
5312131101120000
613122301104052
71311045231254
oct225603373440
956783653805
1020100020000
118584a34585
123a8b558028
131b84327578
14d896c0264
157c9926735
hex4ae0df720

20100020000 has 120 divisors (see below), whose sum is σ = 50503533696. Its totient is φ = 7868576000.

The previous prime is 20100019963. The next prime is 20100020009. The reversal of 20100020000 is 2000102.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (20100020009) 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 19 ways as a sum of consecutive naturals, for example, 929309 + ... + 950691.

Almost surely, 220100020000 is an apocalyptic number.

20100020000 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 20100020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25251766848).

20100020000 is an abundant number, since it is smaller than the sum of its proper divisors (30403513696).

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

20100020000 is an equidigital number, since it uses as much as digits as its factorization.

20100020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21460 (or 21437 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 20100020000 its reverse (2000102), we get a palindrome (20102020102).

The spelling of 20100020000 in words is "twenty billion, one hundred million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 625 752 800 940 1000 1175 1250 1504 1880 2000 2350 2500 3760 4000 4700 5000 5875 7520 9400 10000 11750 18800 20000 21383 23500 29375 37600 42766 47000 58750 85532 94000 106915 117500 171064 188000 213830 235000 342128 427660 470000 534575 684256 855320 940000 1005001 1069150 1710640 2010002 2138300 2672875 3421280 4020004 4276600 5025005 5345750 8040008 8553200 10050010 10691500 13364375 16080016 17106400 20100020 21383000 25125025 26728750 32160032 40200040 42766000 50250050 53457500 80400080 85532000 100500100 106915000 125625125 160800160 201000200 213830000 251250250 402000400 427660000 502500500 628125625 804000800 1005001000 1256251250 2010002000 2512502500 4020004000 5025005000 10050010000 20100020000