Search a number
-
+
21330003320 = 2355920834339
BaseRepresentation
bin10011110111010111…
…100000010101111000
32001001112011102210222
4103313113200111320
5322140440101240
613444315555212
71353402015413
oct236727402570
961045142728
1021330003320
11905625a21a
12417345bb08
13201c0b9252
141064bb6b7a
1584c8d5eb5
hex4f75e0578

21330003320 has 64 divisors (see below), whose sum is σ = 48840624000. Its totient is φ = 8381432448.

The previous prime is 21330003287. The next prime is 21330003323. The reversal of 21330003320 is 2330003312.

It is a super-2 number, since 2×213300033202 (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 (21330003323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4913711 + ... + 4918049.

It is an arithmetic number, because the mean of its divisors is an integer number (763134750).

Almost surely, 221330003320 is an apocalyptic number.

21330003320 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 21330003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24420312000).

21330003320 is an abundant number, since it is smaller than the sum of its proper divisors (27510620680).

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

21330003320 is a wasteful number, since it uses less digits than its factorization.

21330003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492 (or 6488 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 21330003320 its reverse (2330003312), we get a palindrome (23660006632).

The spelling of 21330003320 in words is "twenty-one billion, three hundred thirty million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2083 2360 4166 4339 8332 8678 10415 16664 17356 20830 21695 34712 41660 43390 83320 86780 122897 173560 245794 256001 491588 512002 614485 983176 1024004 1228970 1280005 2048008 2457940 2560010 4915880 5120020 9038137 10240040 18076274 36152548 45190685 72305096 90381370 180762740 361525480 533250083 1066500166 2133000332 2666250415 4266000664 5332500830 10665001660 21330003320