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21210200002000 = 245310605100001
BaseRepresentation
bin1001101001010011000100…
…11011111100110111010000
32210002200020022021101221001
410310221202123330313100
510240001442200031000
6113035455324111344
74316246346223042
oct464514233746720
983080208241831
1021210200002000
116838216a52649
122466819095554
13bab161b44089
145348172cba92
1526bad528946a
hex134a626fcdd0

21210200002000 has 40 divisors (see below), whose sum is σ = 51286263609672. Its totient is φ = 8484080000000.

The previous prime is 21210200001919. The next prime is 21210200002021. The reversal of 21210200002000 is 20000201212.

It can be written as a sum of positive squares in 4 ways, for example, as 840720280464 + 20369479721536 = 916908^2 + 4513256^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×212102000020003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5302548001 + ... + 5302552000.

Almost surely, 221210200002000 is an apocalyptic number.

21210200002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210200002000 is an abundant number, since it is smaller than the sum of its proper divisors (30076063607672).

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

21210200002000 is a wasteful number, since it uses less digits than its factorization.

21210200002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10605100024 (or 10605100008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21210200002000 its reverse (20000201212), we get a palindrome (21230200203212).

The spelling of 21210200002000 in words is "twenty-one trillion, two hundred ten billion, two hundred million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10605100001 21210200002 42420400004 53025500005 84840800008 106051000010 169681600016 212102000020 265127500025 424204000040 530255000050 848408000080 1060510000100 1325637500125 2121020000200 2651275000250 4242040000400 5302550000500 10605100001000 21210200002000