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21421323300 = 223521341133967
BaseRepresentation
bin10011111100110011…
…110111010000100100
32001021212222222021110
4103330303313100210
5322332324321200
613501341145020
71355561146416
oct237463672044
961255888243
1021421323300
1190a2862283
124199b5b170
132034cb0c40
141072d889b6
15855923b50
hex4fccf7424

21421323300 has 144 divisors (see below), whose sum is σ = 68375123712. Its totient is φ = 5144294400.

The previous prime is 21421323277. The next prime is 21421323307. The reversal of 21421323300 is 332312412.

It is not an unprimeable number, because it can be changed into a prime (21421323307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92917 + ... + 226883.

It is an arithmetic number, because the mean of its divisors is an integer number (474827248).

Almost surely, 221421323300 is an apocalyptic number.

21421323300 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 21421323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34187561856).

21421323300 is an abundant number, since it is smaller than the sum of its proper divisors (46953800412).

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

21421323300 is a wasteful number, since it uses less digits than its factorization.

21421323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134038 (or 134031 counting only the distinct ones).

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

Adding to 21421323300 its reverse (332312412), we get a palindrome (21753635712).

The spelling of 21421323300 in words is "twenty-one billion, four hundred twenty-one million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 41 50 52 60 65 75 78 82 100 123 130 150 156 164 195 205 246 260 300 325 390 410 492 533 615 650 780 820 975 1025 1066 1230 1300 1599 1950 2050 2132 2460 2665 3075 3198 3900 4100 5330 6150 6396 7995 10660 12300 13325 15990 26650 31980 39975 53300 79950 133967 159900 267934 401901 535868 669835 803802 1339670 1607604 1741571 2009505 2679340 3349175 3483142 4019010 5224713 5492647 6698350 6966284 8038020 8707855 10047525 10449426 10985294 13396700 16477941 17415710 20095050 20898852 21970588 26123565 27463235 32955882 34831420 40190100 43539275 52247130 54926470 65911764 71404411 82389705 87078550 104494260 109852940 130617825 137316175 142808822 164779410 174157100 214213233 261235650 274632350 285617644 329558820 357022055 411948525 428426466 522471300 549264700 714044110 823897050 856852932 1071066165 1428088220 1647794100 1785110275 2142132330 3570220550 4284264660 5355330825 7140441100 10710661650 21421323300