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21433352200 = 23521371116107
BaseRepresentation
bin10011111101100001…
…110000000000001000
32001022201122002211021
4103331201300000020
5322343414232300
613502451042224
71356065326201
oct237541600010
961281562737
1021433352200
1190a9628817
1241a1ba0374
132037633130
1410747da5a8
158569ecd1a
hex4fd870008

21433352200 has 96 divisors (see below), whose sum is σ = 54422141760. Its totient is φ = 7802323200.

The previous prime is 21433352183. The next prime is 21433352203. The reversal of 21433352200 is 225333412.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (21433352203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126547 + ... + 242653.

It is an arithmetic number, because the mean of its divisors is an integer number (566897310).

Almost surely, 221433352200 is an apocalyptic number.

21433352200 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 21433352200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27211070880).

21433352200 is an abundant number, since it is smaller than the sum of its proper divisors (32988789560).

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

21433352200 is a wasteful number, since it uses less digits than its factorization.

21433352200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116207 (or 116198 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 21433352200 its reverse (225333412), we get a palindrome (21658685612).

The spelling of 21433352200 in words is "twenty-one billion, four hundred thirty-three million, three hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 71 100 104 130 142 200 260 284 325 355 520 568 650 710 923 1300 1420 1775 1846 2600 2840 3550 3692 4615 7100 7384 9230 14200 18460 23075 36920 46150 92300 116107 184600 232214 464428 580535 928856 1161070 1509391 2322140 2902675 3018782 4644280 5805350 6037564 7546955 8243597 11610700 12075128 15093910 16487194 23221400 30187820 32974388 37734775 41217985 60375640 65948776 75469550 82435970 107166761 150939100 164871940 206089925 214333522 301878200 329743880 412179850 428667044 535833805 824359700 857334088 1071667610 1648719400 2143335220 2679169025 4286670440 5358338050 10716676100 21433352200