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21433132200 = 2335237994253
BaseRepresentation
bin10011111101100000…
…111010010010101000
32001022201012221001010
4103331200322102220
5322343340212300
613502442223520
71356063421614
oct237540722250
961281187033
1021433132200
1190a94984a7
1241a1ab4ba0
132037586c5c
141074780344
158569a7a50
hex4fd83a4a8

21433132200 has 96 divisors (see below), whose sum is σ = 66618727200. Its totient is φ = 5700360960.

The previous prime is 21433132163. The next prime is 21433132219. The reversal of 21433132200 is 223133412.

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 23 ways as a sum of consecutive naturals, for example, 180274 + ... + 274526.

It is an arithmetic number, because the mean of its divisors is an integer number (693945075).

Almost surely, 221433132200 is an apocalyptic number.

21433132200 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 21433132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33309363600).

21433132200 is an abundant number, since it is smaller than the sum of its proper divisors (45185595000).

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

21433132200 is a wasteful number, since it uses less digits than its factorization.

21433132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94651 (or 94642 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21433132200 its reverse (223133412), we get a palindrome (21656265612).

The spelling of 21433132200 in words is "twenty-one billion, four hundred thirty-three million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 379 600 758 1137 1516 1895 2274 3032 3790 4548 5685 7580 9096 9475 11370 15160 18950 22740 28425 37900 45480 56850 75800 94253 113700 188506 227400 282759 377012 471265 565518 754024 942530 1131036 1413795 1885060 2262072 2356325 2827590 3770120 4712650 5655180 7068975 9425300 11310360 14137950 18850600 28275900 35721887 56551800 71443774 107165661 142887548 178609435 214331322 285775096 357218870 428662644 535828305 714437740 857325288 893047175 1071656610 1428875480 1786094350 2143313220 2679141525 3572188700 4286626440 5358283050 7144377400 10716566100 21433132200