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21330002000 = 245317627353
BaseRepresentation
bin10011110111010111…
…100000000001010000
32001001112011101000002
4103313113200001100
5322140440031000
613444315545132
71353402011516
oct236727400120
961045141002
1021330002000
11905625922a
12417345b1a8
13201c0b8778
141064bb64b6
1584c8d58d5
hex4f75e0050

21330002000 has 80 divisors (see below), whose sum is σ = 54609910992. Its totient is φ = 8030105600.

The previous prime is 21330001999. The next prime is 21330002003. The reversal of 21330002000 is 20003312.

It can be written as a sum of positive squares in 8 ways, for example, as 5240601664 + 16089400336 = 72392^2 + 126844^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21330002003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279677 + ... + 347676.

Almost surely, 221330002000 is an apocalyptic number.

21330002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21330002000 is an abundant number, since it is smaller than the sum of its proper divisors (33279908992).

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

21330002000 is a wasteful number, since it uses less digits than its factorization.

21330002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627393 (or 627377 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 21330002000 its reverse (20003312), we get a palindrome (21350005312).

The spelling of 21330002000 in words is "twenty-one billion, three hundred thirty million, two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 627353 1254706 2509412 3136765 5018824 6273530 10037648 10665001 12547060 15683825 21330002 25094120 31367650 42660004 50188240 53325005 62735300 78419125 85320008 106650010 125470600 156838250 170640016 213300020 250941200 266625025 313676500 426600040 533250050 627353000 853200080 1066500100 1254706000 1333125125 2133000200 2666250250 4266000400 5332500500 10665001000 21330002000