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20301112321100 = 22521329829649567
BaseRepresentation
bin1001001110110101110001…
…00101101010010001001100
32122212202201102102022002122
410213122320211222101030
510130103134223233400
6111102111404112112
74163464326355022
oct447327045522114
978782642368078
1020301112321100
116517720724676
12233a5a9535638
13b435046b84c0
14502816dc8712
1525312a011685
hex1276b896a44c

20301112321100 has 144 divisors (see below), whose sum is σ = 49137350841600. Its totient is φ = 7228578309120.

The previous prime is 20301112321099. The next prime is 20301112321117. The reversal of 20301112321100 is 112321110302.

It is a super-2 number, since 2×203011123211002 (a number of 27 digits) contains 22 as substring.

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, 30928517 + ... + 31578083.

Almost surely, 220301112321100 is an apocalyptic number.

20301112321100 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 20301112321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24568675420800).

20301112321100 is an abundant number, since it is smaller than the sum of its proper divisors (28836238520500).

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

20301112321100 is a wasteful number, since it uses less digits than its factorization.

20301112321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650452 (or 650445 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 20301112321100 its reverse (112321110302), we get a palindrome (20413433431402).

The spelling of 20301112321100 in words is "twenty trillion, three hundred one billion, one hundred twelve million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 58 65 100 116 130 145 260 290 325 377 580 650 725 754 829 1300 1450 1508 1658 1885 2900 3316 3770 4145 7540 8290 9425 10777 16580 18850 20725 21554 24041 37700 41450 43108 48082 53885 82900 96164 107770 120205 215540 240410 269425 312533 480820 538850 601025 625066 649567 1077700 1202050 1250132 1299134 1562665 2404100 2598268 3125330 3247835 6250660 6495670 7813325 8444371 12991340 15626650 16239175 16888742 18837443 31253300 32478350 33777484 37674886 42221855 64956700 75349772 84443710 94187215 168887420 188374430 211109275 244886759 376748860 422218550 470936075 489773518 538491043 844437100 941872150 979547036 1076982086 1224433795 1883744300 2153964172 2448867590 2692455215 4897735180 5384910430 6122168975 7000383559 10769820860 12244337950 13462276075 14000767118 15616240247 24488675900 26924552150 28001534236 31232480494 35001917795 53849104300 62464960988 70003835590 78081201235 140007671180 156162402470 175009588975 203011123211 312324804940 350019177950 390406006175 406022246422 700038355900 780812012350 812044492844 1015055616055 1561624024700 2030111232110 4060222464220 5075278080275 10150556160550 20301112321100