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21031012300300 = 225229113101962981
BaseRepresentation
bin1001100100000101010100…
…00001000111011000001100
32202110112201102000000110121
410302002222001013120030
510224033003122102200
6112421302541514324
74300304043000412
oct462025201073014
982415642000417
1021031012300300
116779225191182
122437b4b5729a4
13b972a659a412
14529c9933d2b2
152670e9036e1a
hex1320aa04760c

21031012300300 has 144 divisors (see below), whose sum is σ = 47676290709600. Its totient is φ = 8042415001600.

The previous prime is 21031012300273. The next prime is 21031012300301. The reversal of 21031012300300 is 300321013012.

It is not an unprimeable number, because it can be changed into a prime (21031012300301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333894810 + ... + 333957790.

It is an arithmetic number, because the mean of its divisors is an integer number (331085352150).

Almost surely, 221031012300300 is an apocalyptic number.

21031012300300 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 21031012300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23838145354800).

21031012300300 is an abundant number, since it is smaller than the sum of its proper divisors (26645278409300).

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

21031012300300 is a wasteful number, since it uses less digits than its factorization.

21031012300300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64156 (or 64149 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 21031012300300 its reverse (300321013012), we get a palindrome (21331333313312).

The spelling of 21031012300300 in words is "twenty-one trillion, thirty-one billion, twelve million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 113 116 145 226 290 452 565 580 725 1019 1130 1450 2038 2260 2825 2900 3277 4076 5095 5650 6554 10190 11300 13108 16385 20380 25475 29551 32770 50950 59102 62981 65540 81925 101900 115147 118204 125962 147755 163850 230294 251924 295510 314905 327700 460588 575735 591020 629810 738775 1151470 1259620 1477550 1574525 1826449 2302940 2878675 2955100 3149050 3339263 3652898 5757350 6298100 6678526 7116853 7305796 9132245 11514700 13357052 14233706 16696315 18264490 28467412 33392630 35584265 36528980 45661225 64177639 66785260 71168530 83481575 91322450 128355278 142337060 166963150 177921325 182644900 206388737 256710556 320888195 333926300 355842650 412777474 641776390 711685300 825554948 1031943685 1283552780 1604440975 1861151531 2063887370 3208881950 3722303062 4127774740 5159718425 6417763900 7252073207 7444606124 9305757655 10319436850 14504146414 18611515310 20638873700 29008292828 36260366035 37223030620 46528788275 72520732070 93057576550 145041464140 181301830175 186115153100 210310123003 362603660350 420620246006 725207320700 841240492012 1051550615015 2103101230030 4206202460060 5257753075075 10515506150150 21031012300300