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21433321100 = 2252101221011
BaseRepresentation
bin10011111101100001…
…101000011010001100
32001022201120112011102
4103331201220122030
5322343412233400
613502450242232
71356065136422
oct237541503214
961281515142
1021433321100
1190a9607414
1241a1b86378
132037621c29
1410747cd112
158569e39d5
hex4fd86868c

21433321100 has 54 divisors (see below), whose sum is σ = 46977600012. Its totient is φ = 8488040000.

The previous prime is 21433321099. The next prime is 21433321153. The reversal of 21433321100 is 112333412.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 17 ways as a sum of consecutive naturals, for example, 1009595 + ... + 1030605.

Almost surely, 221433321100 is an apocalyptic number.

21433321100 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 21433321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23488800006).

21433321100 is an abundant number, since it is smaller than the sum of its proper divisors (25544278912).

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

21433321100 is a wasteful number, since it uses less digits than its factorization.

21433321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21227 (or 21119 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21433321100 its reverse (112333412), we get a palindrome (21545654512).

The spelling of 21433321100 in words is "twenty-one billion, four hundred thirty-three million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 10201 20402 21011 40804 42022 51005 84044 102010 105055 204020 210110 255025 420220 510050 525275 1020100 1050550 2101100 2122111 4244222 8488444 10610555 21221110 42442220 53052775 106105550 212211100 214333211 428666422 857332844 1071666055 2143332110 4286664220 5358330275 10716660550 21433321100