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21000330300 = 22352712414091
BaseRepresentation
bin10011100011101101…
…111001110000111100
32000012112211022110010
4103203231321300330
5321002041032200
613351501543220
71342256601525
oct234355716074
960175738403
1021000330300
1189a7158a84
1240a0b74b10
131c989cc261
1410330bb84c
1582d9b5150
hex4e3b79c3c

21000330300 has 144 divisors (see below), whose sum is σ = 61887538944. Its totient is φ = 5496960000.

The previous prime is 21000330289. The next prime is 21000330311. The reversal of 21000330300 is 303300012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21000330289) and next prime (21000330311).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5131255 + ... + 5135345.

It is an arithmetic number, because the mean of its divisors is an integer number (429774576).

Almost surely, 221000330300 is an apocalyptic number.

21000330300 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 21000330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30943769472).

21000330300 is an abundant number, since it is smaller than the sum of its proper divisors (40887208644).

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

21000330300 is a wasteful number, since it uses less digits than its factorization.

21000330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 21000330300 its reverse (303300012), we get a palindrome (21303630312).

The spelling of 21000330300 in words is "twenty-one billion, three hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 241 284 300 355 426 482 710 723 852 964 1065 1205 1420 1446 1775 2130 2410 2892 3550 3615 4091 4260 4820 5325 6025 7100 7230 8182 10650 12050 12273 14460 16364 17111 18075 20455 21300 24100 24546 34222 36150 40910 49092 51333 61365 68444 72300 81820 85555 102275 102666 122730 171110 204550 205332 245460 256665 290461 306825 342220 409100 427775 513330 580922 613650 855550 871383 985931 1026660 1161844 1227300 1283325 1452305 1711100 1742766 1971862 2566650 2904610 2957793 3485532 3943724 4356915 4929655 5133300 5809220 5915586 7261525 8713830 9859310 11831172 14523050 14788965 17427660 19718620 21784575 24648275 29046100 29577930 43569150 49296550 59155860 70001101 73944825 87138300 98593100 140002202 147889650 210003303 280004404 295779300 350005505 420006606 700011010 840013212 1050016515 1400022020 1750027525 2100033030 3500055050 4200066060 5250082575 7000110100 10500165150 21000330300