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21001443100 = 22521127170451
BaseRepresentation
bin10011100011110010…
…001001011100011100
32000012121220211220221
4103203302021130130
5321002332134400
613351541451124
71342302215041
oct234362113434
960177824827
1021001443100
1189a7849050
1240a1410aa4
131c98ccb911
1410332cb1c8
1582db34c1a
hex4e3c8971c

21001443100 has 72 divisors (see below), whose sum is σ = 49900306176. Its totient is φ = 7608600000.

The previous prime is 21001443077. The next prime is 21001443107. The reversal of 21001443100 is 134410012.

It is a super-2 number, since 2×210014431002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001443107) 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 23 ways as a sum of consecutive naturals, for example, 262875 + ... + 333325.

It is an arithmetic number, because the mean of its divisors is an integer number (693059808).

Almost surely, 221001443100 is an apocalyptic number.

21001443100 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 21001443100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24950153088).

21001443100 is an abundant number, since it is smaller than the sum of its proper divisors (28898863076).

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

21001443100 is a wasteful number, since it uses less digits than its factorization.

21001443100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70747 (or 70740 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21001443100 its reverse (134410012), we get a palindrome (21135853112).

The spelling of 21001443100 in words is "twenty-one billion, one million, four hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 271 275 542 550 1084 1100 1355 2710 2981 5420 5962 6775 11924 13550 14905 27100 29810 59620 70451 74525 140902 149050 281804 298100 352255 704510 774961 1409020 1549922 1761275 3099844 3522550 3874805 7045100 7749610 15499220 19092221 19374025 38184442 38748050 76368884 77496100 95461105 190922210 210014431 381844420 420028862 477305525 840057724 954611050 1050072155 1909222100 2100144310 4200288620 5250360775 10500721550 21001443100