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20122300301100 = 22352196521541363
BaseRepresentation
bin1001001001101000101101…
…00011111011111100101100
32122020200011201001112001020
410210310112203323330230
510114140432334113400
6110444020202014140
74144534234311324
oct444642643737454
978220151045036
1020122300301100
116458901a29448
12230ba057a7350
13b2c6a8c1a2ca
144d7cd2cb0284
1524d661c6c2a0
hex124d168fbf2c

20122300301100 has 144 divisors (see below), whose sum is σ = 61294271498880. Its totient is φ = 5082739545600.

The previous prime is 20122300301063. The next prime is 20122300301123. The reversal of 20122300301100 is 110300322102.

It is a super-2 number, since 2×201223003011002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20122300301100.

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, 36899019 + ... + 37440381.

Almost surely, 220122300301100 is an apocalyptic number.

20122300301100 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 20122300301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30647135749440).

20122300301100 is an abundant number, since it is smaller than the sum of its proper divisors (41171971197780).

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

20122300301100 is a wasteful number, since it uses less digits than its factorization.

20122300301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547920 (or 547913 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20122300301100 its reverse (110300322102), we get a palindrome (20232600623202).

The spelling of 20122300301100 in words is "twenty trillion, one hundred twenty-two billion, three hundred million, three hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 6521 13042 19563 26084 32605 39126 65210 78252 97815 123899 130420 163025 195630 247798 326050 371697 391260 489075 495596 541363 619495 652100 743394 978150 1082726 1238990 1486788 1624089 1858485 1956300 2165452 2477980 2706815 3097475 3248178 3716970 5413630 6194950 6496356 7433940 8120445 9292425 10285897 10827260 12389900 13534075 16240890 18584850 20571794 27068150 30857691 32481780 37169700 40602225 41143588 51429485 54136300 61715382 81204450 102858970 123430764 154288455 162408900 205717940 257147425 308576910 514294850 617153820 771442275 1028589700 1542884550 3085769100 3530228123 7060456246 10590684369 14120912492 17651140615 21181368738 35302281230 42362737476 52953421845 67074334337 70604562460 88255703075 105906843690 134148668674 176511406150 201223003011 211813687380 264767109225 268297337348 335371671685 353022812300 402446006022 529534218450 670743343370 804892012044 1006115015055 1059068436900 1341486686740 1676858358425 2012230030110 3353716716850 4024460060220 5030575075275 6707433433700 10061150150550 20122300301100