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300021302120 = 235233147223823
BaseRepresentation
bin1000101110110101010…
…10011100001101101000
31001200102000000021202112
410113122222130031220
514403420423131440
6345454453421452
730450543663551
oct4273252341550
91050360007675
10300021302120
11106269226961
124a19063a888
13223a4379907
1410741cc9328
157c0e4ba965
hex45daa9c368

300021302120 has 128 divisors (see below), whose sum is σ = 742594314240. Its totient is φ = 108723774720.

The previous prime is 300021302101. The next prime is 300021302197. The reversal of 300021302120 is 21203120003.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 300021302095 and 300021302104.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1228529 + ... + 1452351.

It is an arithmetic number, because the mean of its divisors is an integer number (5801518080).

Almost surely, 2300021302120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300021302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371297157120).

300021302120 is an abundant number, since it is smaller than the sum of its proper divisors (442573012120).

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

300021302120 is a wasteful number, since it uses less digits than its factorization.

300021302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223935 (or 223931 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 300021302120 its reverse (21203120003), we get a palindrome (321224422123).

The spelling of 300021302120 in words is "three hundred billion, twenty-one million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 47 62 92 94 115 124 155 184 188 230 235 248 310 376 460 470 620 713 920 940 1081 1240 1426 1457 1880 2162 2852 2914 3565 4324 5405 5704 5828 7130 7285 8648 10810 11656 14260 14570 21620 28520 29140 33511 43240 58280 67022 134044 167555 223823 268088 335110 447646 670220 895292 1119115 1340440 1790584 2238230 4476460 5147929 6938513 8952920 10295858 10519681 13877026 20591716 21039362 25739645 27754052 34692565 41183432 42078724 51479290 52598405 55508104 69385130 84157448 102958580 105196810 138770260 159585799 205917160 210393620 241952663 277540520 319171598 326110111 420787240 483905326 638343196 652220222 797928995 967810652 1209763315 1276686392 1304440444 1595857990 1630550555 1935621304 2419526630 2608880888 3191715980 3261101110 4839053260 6383431960 6522202220 7500532553 9678106520 13044404440 15001065106 30002130212 37502662765 60004260424 75005325530 150010651060 300021302120