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21203333000 = 235382925577
BaseRepresentation
bin10011101111110100…
…010010111110001000
32000201200210220210122
4103233310102332020
5321411023124000
613423553002412
71350303233243
oct235764227610
960650726718
1021203333000
118aa0801a03
124138b53408
131ccba981b5
14105204225a
15841714085
hex4efd12f88

21203333000 has 64 divisors (see below), whose sum is σ = 49677591600. Its totient is φ = 8470771200.

The previous prime is 21203332999. The next prime is 21203333009. The reversal of 21203333000 is 33330212.

It can be written as a sum of positive squares in 8 ways, for example, as 112741924 + 21090591076 = 10618^2 + 145226^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21203333000.

It is not an unprimeable number, because it can be changed into a prime (21203333009) 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, 816212 + ... + 841788.

Almost surely, 221203333000 is an apocalyptic number.

21203333000 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 21203333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24838795800).

21203333000 is an abundant number, since it is smaller than the sum of its proper divisors (28474258600).

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

21203333000 is a wasteful number, since it uses less digits than its factorization.

21203333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26427 (or 26413 counting only the distinct ones).

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

Adding to 21203333000 its reverse (33330212), we get a palindrome (21236663212).

The spelling of 21203333000 in words is "twenty-one billion, two hundred three million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 829 1000 1658 3316 4145 6632 8290 16580 20725 25577 33160 41450 51154 82900 102308 103625 127885 165800 204616 207250 255770 414500 511540 639425 829000 1023080 1278850 2557700 3197125 5115400 6394250 12788500 21203333 25577000 42406666 84813332 106016665 169626664 212033330 424066660 530083325 848133320 1060166650 2120333300 2650416625 4240666600 5300833250 10601666500 21203333000