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21033101000 = 235322819221
BaseRepresentation
bin10011100101101010…
…111010011011001000
32000021211111020101202
4103211222322123020
5321033433213000
613355032203332
71343135260112
oct234552723310
960254436352
1021033101000
118a137010aa
1240abb39548
131ca27343c2
1410375ac3b2
158317d9dd5
hex4e5aba6c8

21033101000 has 64 divisors (see below), whose sum is σ = 49244373360. Its totient is φ = 8408640000.

The previous prime is 21033100967. The next prime is 21033101009. The reversal of 21033101000 is 10133012.

It can be written as a sum of positive squares in 8 ways, for example, as 4439023876 + 16594077124 = 66626^2 + 128818^2 .

It is not an unprimeable number, because it can be changed into a prime (21033101009) 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, 2276390 + ... + 2285610.

Almost surely, 221033101000 is an apocalyptic number.

21033101000 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 21033101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24622186680).

21033101000 is an abundant number, since it is smaller than the sum of its proper divisors (28211272360).

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

21033101000 is a wasteful number, since it uses less digits than its factorization.

21033101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11523 (or 11509 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 21033101000 its reverse (10133012), we get a palindrome (21043234012).

The spelling of 21033101000 in words is "twenty-one billion, thirty-three million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2281 4562 9124 9221 11405 18248 18442 22810 36884 45620 46105 57025 73768 91240 92210 114050 184420 228100 230525 285125 368840 456200 461050 570250 922100 1140500 1152625 1844200 2281000 2305250 4610500 9221000 21033101 42066202 84132404 105165505 168264808 210331010 420662020 525827525 841324040 1051655050 2103310100 2629137625 4206620200 5258275250 10516550500 21033101000