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20000020200 = 23352167199601
BaseRepresentation
bin10010101000000110…
…000001011011101000
31220121211120021221220
4102220012001123220
5311430001121300
613104325502040
71305422236536
oct225006013350
956554507856
1020000020200
118533543216
123a61b71920
131b696b3ba4
14d7a2cd156
157c0c71da0
hex4a81816e8

20000020200 has 96 divisors (see below), whose sum is σ = 62371632960. Its totient is φ = 5301376000.

The previous prime is 20000020189. The next prime is 20000020237. The reversal of 20000020200 is 202000002.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

20000020200 is a modest number, since divided by 20200 gives 200 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400 + ... + 200000.

It is an arithmetic number, because the mean of its divisors is an integer number (649704510).

Almost surely, 220000020200 is an apocalyptic number.

20000020200 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 20000020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31185816480).

20000020200 is an abundant number, since it is smaller than the sum of its proper divisors (42371612760).

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

20000020200 is a wasteful number, since it uses less digits than its factorization.

20000020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199787 (or 199778 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

Adding to 20000020200 its reverse (202000002), we get a palindrome (20202020202).

The spelling of 20000020200 in words is "twenty billion, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 167 200 300 334 501 600 668 835 1002 1336 1670 2004 2505 3340 4008 4175 5010 6680 8350 10020 12525 16700 20040 25050 33400 50100 100200 199601 399202 598803 798404 998005 1197606 1596808 1996010 2395212 2994015 3992020 4790424 4990025 5988030 7984040 9980050 11976060 14970075 19960100 23952120 29940150 33333367 39920200 59880300 66666734 100000101 119760600 133333468 166666835 200000202 266666936 333333670 400000404 500000505 666667340 800000808 833334175 1000001010 1333334680 1666668350 2000002020 2500002525 3333336700 4000004040 5000005050 6666673400 10000010100 20000020200