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20021110000 = 245419710163
BaseRepresentation
bin10010101001010110…
…011110010011110000
31220200022020202201121
4102221112132103300
5312000401010000
613110401512024
71306066425043
oct225126362360
956608222647
1020021110000
118544438301
123a69042614
131b70b89368
14d7d01cc5a
157c2a3ab1a
hex4a959e4f0

20021110000 has 100 divisors (see below), whose sum is σ = 48723959592. Its totient is φ = 7967008000.

The previous prime is 20021109991. The next prime is 20021110033. The reversal of 20021110000 is 1112002.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

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, 1964919 + ... + 1975081.

Almost surely, 220021110000 is an apocalyptic number.

20021110000 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 20021110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24361979796).

20021110000 is an abundant number, since it is smaller than the sum of its proper divisors (28702849592).

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

20021110000 is a wasteful number, since it uses less digits than its factorization.

20021110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10388 (or 10367 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20021110000 its reverse (1112002), we get a palindrome (20022222002).

The spelling of 20021110000 in words is "twenty billion, twenty-one million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 197 200 250 394 400 500 625 788 985 1000 1250 1576 1970 2000 2500 3152 3940 4925 5000 7880 9850 10000 10163 15760 19700 20326 24625 39400 40652 49250 50815 78800 81304 98500 101630 123125 162608 197000 203260 246250 254075 394000 406520 492500 508150 813040 985000 1016300 1270375 1970000 2002111 2032600 2540750 4004222 4065200 5081500 6351875 8008444 10010555 10163000 12703750 16016888 20021110 20326000 25407500 32033776 40042220 50052775 50815000 80084440 100105550 101630000 160168880 200211100 250263875 400422200 500527750 800844400 1001055500 1251319375 2002111000 2502638750 4004222000 5005277500 10010555000 20021110000