Search a number
-
+
21001002333300 = 2232521143277313569
BaseRepresentation
bin1001100011001101011010…
…10010001011010001110100
32202100200020221221201221100
410301212231102023101310
510223040023044131200
6112355421032050100
74265162262330303
oct461465522132164
982320227851840
1021001002333300
11676752535a860
122432175233930
13b945031257b2
1452864d85c43a
1526643e5ded00
hex1319ad48b474

21001002333300 has 864 divisors, whose sum is σ = 74111620302720. Its totient is φ = 4930290892800.

The previous prime is 21001002333299. The next prime is 21001002333347. The reversal of 21001002333300 is 333320010012.

21001002333300 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 100 + 233 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 36908615416 + ... + 36908615984.

Almost surely, 221001002333300 is an apocalyptic number.

21001002333300 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 21001002333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37055810151360).

21001002333300 is an abundant number, since it is smaller than the sum of its proper divisors (53110617969420).

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

21001002333300 is a wasteful number, since it uses less digits than its factorization.

21001002333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21001002333300 its reverse (333320010012), we get a palindrome (21334322343312).

The spelling of 21001002333300 in words is "twenty-one trillion, one billion, two million, three hundred thirty-three thousand, three hundred".