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20000300100 = 223521147128951
BaseRepresentation
bin10010101000000111…
…000101110001000100
31220121212002111220120
4102220013011301010
5311430034100400
613104335501540
71305424513554
oct225007056104
956555074816
1020000300100
118533714540
123a620878b0
131b69781401
14d7a363164
157c0cc9ca0
hex4a81c5c44

20000300100 has 144 divisors (see below), whose sum is σ = 64471873536. Its totient is φ = 4745360000.

The previous prime is 20000300081. The next prime is 20000300107. The reversal of 20000300100 is 100300002.

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.

It is not an unprimeable number, because it can be changed into a prime (20000300107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 90625 + ... + 219575.

It is an arithmetic number, because the mean of its divisors is an integer number (447721344).

Almost surely, 220000300100 is an apocalyptic number.

20000300100 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 20000300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32235936768).

20000300100 is an abundant number, since it is smaller than the sum of its proper divisors (44471573436).

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

20000300100 is a wasteful number, since it uses less digits than its factorization.

20000300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129026 (or 129019 counting only the distinct ones).

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

Adding to 20000300100 its reverse (100300002), we get a palindrome (20100600102).

The spelling of 20000300100 in words is "twenty billion, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 47 50 55 60 66 75 94 100 110 132 141 150 165 188 220 235 275 282 300 330 470 517 550 564 660 705 825 940 1034 1100 1175 1410 1551 1650 2068 2350 2585 2820 3102 3300 3525 4700 5170 6204 7050 7755 10340 12925 14100 15510 25850 31020 38775 51700 77550 128951 155100 257902 386853 515804 644755 773706 1289510 1418461 1547412 1934265 2579020 2836922 3223775 3868530 4255383 5673844 6060697 6447550 7092305 7737060 8510766 9671325 12121394 12895100 14184610 17021532 18182091 19342650 21276915 24242788 28369220 30303485 35461525 36364182 38685300 42553830 60606970 66667667 70923050 72728364 85107660 90910455 106384575 121213940 133335334 141846100 151517425 181820910 200003001 212769150 266670668 303034850 333338335 363641820 400006002 425538300 454552275 606069700 666676670 800012004 909104550 1000015005 1333353340 1666691675 1818209100 2000030010 3333383350 4000060020 5000075025 6666766700 10000150050 20000300100