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21305363100 = 22352719533969
BaseRepresentation
bin10011110101111001…
…100000101010011100
32000222210210120210020
4103311321200222130
5322113133104400
613442035512140
71352652412140
oct236571405234
960883716706
1021305363100
11904335a6aa
124167158650
132016c6ca38
141061801220
1584a66a2a0
hex4f5e60a9c

21305363100 has 144 divisors (see below), whose sum is σ = 74157753600. Its totient is φ = 4613483520.

The previous prime is 21305363083. The next prime is 21305363113. The reversal of 21305363100 is 136350312.

It is a happy number.

It is a super-2 number, since 2×213053631002 (a number of 21 digits) contains 22 as substring.

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, 227085 + ... + 306884.

It is an arithmetic number, because the mean of its divisors is an integer number (514984400).

Almost surely, 221305363100 is an apocalyptic number.

21305363100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21305363100 is an abundant number, since it is smaller than the sum of its proper divisors (52852390500).

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

21305363100 is a wasteful number, since it uses less digits than its factorization.

21305363100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534012 (or 534005 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The spelling of 21305363100 in words is "twenty-one billion, three hundred five million, three hundred sixty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3990 5700 6650 7980 9975 13300 19950 39900 533969 1067938 1601907 2135876 2669845 3203814 3737783 5339690 6407628 7475566 8009535 10145411 10679380 11213349 13349225 14951132 16019070 18688915 20290822 22426698 26698450 30436233 32038140 37377830 40047675 40581644 44853396 50727055 53396900 56066745 60872466 71017877 74755660 80095350 93444575 101454110 112133490 121744932 142035754 152181165 160190700 186889150 202908220 213053631 224266980 253635275 280333725 284071508 304362330 355089385 373778300 426107262 507270550 560667450 608724660 710178770 760905825 852214524 1014541100 1065268155 1121334900 1420357540 1521811650 1775446925 2130536310 3043623300 3550893850 4261072620 5326340775 7101787700 10652681550 21305363100