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21432241300 = 22521989126743
BaseRepresentation
bin10011111101011101…
…100000110010010100
32001022122112122221211
4103331131200302110
5322343123210200
613502411151204
71356053021341
oct237535406224
961278478854
1021432241300
1190a8a3a118
1241a1745504
1320373345b2
1410745cb7c8
1585687daba
hex4fd760c94

21432241300 has 72 divisors (see below), whose sum is σ = 49506206400. Its totient is φ = 8030373120.

The previous prime is 21432241289. The next prime is 21432241307. The reversal of 21432241300 is 314223412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21432241307) 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, 105729 + ... + 232471.

It is an arithmetic number, because the mean of its divisors is an integer number (687586200).

Almost surely, 221432241300 is an apocalyptic number.

21432241300 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 21432241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24753103200).

21432241300 is an abundant number, since it is smaller than the sum of its proper divisors (28073965100).

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

21432241300 is a wasteful number, since it uses less digits than its factorization.

21432241300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126865 (or 126858 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 21432241300 its reverse (314223412), we get a palindrome (21746464712).

The spelling of 21432241300 in words is "twenty-one billion, four hundred thirty-two million, two hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 89 95 100 178 190 356 380 445 475 890 950 1691 1780 1900 2225 3382 4450 6764 8455 8900 16910 33820 42275 84550 126743 169100 253486 506972 633715 1267430 2408117 2534860 3168575 4816234 6337150 9632468 11280127 12040585 12674300 22560254 24081170 45120508 48162340 56400635 60202925 112801270 120405850 214322413 225602540 240811700 282003175 428644826 564006350 857289652 1071612065 1128012700 2143224130 4286448260 5358060325 10716120650 21432241300