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21430304444200 = 23522831231307577
BaseRepresentation
bin1001101111101101000011…
…01011110000111100101000
32210212201100202121120102211
410313312201223300330220
510302103230414203300
6113324540154134504
74341200631140131
oct467664153607450
983781322546384
1021430304444200
1169125a5198833
1224a1405721434
13bc5b3b3785a2
145413374c0c88
152726b870a4ba
hex137da1af0f28

21430304444200 has 96 divisors (see below), whose sum is σ = 50042300837760. Its totient is φ = 8534864908800.

The previous prime is 21430304444149. The next prime is 21430304444201. The reversal of 21430304444200 is 244440303412.

It is not an unprimeable number, because it can be changed into a prime (21430304444201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69520812 + ... + 69828388.

It is an arithmetic number, because the mean of its divisors is an integer number (521273967060).

Almost surely, 221430304444200 is an apocalyptic number.

21430304444200 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 21430304444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25021150418880).

21430304444200 is an abundant number, since it is smaller than the sum of its proper divisors (28611996393560).

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

21430304444200 is a wasteful number, since it uses less digits than its factorization.

21430304444200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309107 (or 309098 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 21430304444200 its reverse (244440303412), we get a palindrome (21674744747612).

The spelling of 21430304444200 in words is "twenty-one trillion, four hundred thirty billion, three hundred four million, four hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 283 566 1132 1231 1415 2264 2462 2830 4924 5660 6155 7075 9848 11320 12310 14150 24620 28300 30775 49240 56600 61550 123100 246200 307577 348373 615154 696746 1230308 1393492 1537885 1741865 2460616 2786984 3075770 3483730 6151540 6967460 7689425 8709325 12303080 13934920 15378850 17418650 30757700 34837300 61515400 69674600 87044291 174088582 348177164 378627287 435221455 696354328 757254574 870442910 1514509148 1740885820 1893136435 2176107275 3029018296 3481771640 3786272870 4352214550 7572545740 8704429100 9465682175 15145091480 17408858200 18931364350 37862728700 75725457400 107151522221 214303044442 428606088884 535757611105 857212177768 1071515222210 2143030444420 2678788055525 4286060888840 5357576111050 10715152222100 21430304444200