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21003300032 = 2611213208631
BaseRepresentation
bin10011100011111001…
…001110110011000000
32000012202102012011012
4103203321032303000
5321003321100112
613352045340052
71342324050611
oct234371166300
960182365135
1021003300032
1189a88a7200
1240a1b67628
131c994cbbb0
141033651c08
1582dda0022
hex4e3e4ecc0

21003300032 has 84 divisors (see below), whose sum is σ = 49336043568. Its totient is φ = 8812531200.

The previous prime is 21003300023. The next prime is 21003300049. The reversal of 21003300032 is 23000330012.

It is a super-2 number, since 2×210033000322 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3644 + ... + 204987.

It is an arithmetic number, because the mean of its divisors is an integer number (587333852).

Almost surely, 221003300032 is an apocalyptic number.

21003300032 is a gapful number since it is divisible by the number (22) 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 21003300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24668021784).

21003300032 is an abundant number, since it is smaller than the sum of its proper divisors (28332743536).

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

21003300032 is a wasteful number, since it uses less digits than its factorization.

21003300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208678 (or 208657 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 21003300032 its reverse (23000330012), we get a palindrome (44003630044).

The spelling of 21003300032 in words is "twenty-one billion, three million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 143 176 208 242 286 352 416 484 572 704 832 968 1144 1573 1936 2288 3146 3872 4576 6292 7744 9152 12584 25168 50336 100672 208631 417262 834524 1669048 2294941 2712203 3338096 4589882 5424406 6676192 9179764 10848812 13352384 18359528 21697624 25244351 29834233 36719056 43395248 50488702 59668466 73438112 86790496 100977404 119336932 146876224 173580992 201954808 238673864 328176563 403909616 477347728 656353126 807819232 954695456 1312706252 1615638464 1909390912 2625412504 5250825008 10501650016 21003300032