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20212012211100 = 223523711316114177
BaseRepresentation
bin1001001100001111110011…
…10011101101101110011100
32122120020201212211201222120
410212013321303231232130
510122123200111223400
6110553134211342540
74154161335051333
oct446077163555634
978506655751876
1020212012211100
116492958a70226
122325281bb1a50
13b37ca5151818
144dc3a3818d1a
15250b62b8dca0
hex1261f9cedb9c

20212012211100 has 144 divisors (see below), whose sum is σ = 60592145375328. Its totient is φ = 5197788610560.

The previous prime is 20212012211093. The next prime is 20212012211119. The reversal of 20212012211100 is 111221021202.

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 20212012211100.

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, 6802789 + ... + 9311388.

Almost surely, 220212012211100 is an apocalyptic number.

20212012211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212012211100 is an abundant number, since it is smaller than the sum of its proper divisors (40380133164228).

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

20212012211100 is a wasteful number, since it uses less digits than its factorization.

20212012211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16114344 (or 16114337 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20212012211100 its reverse (111221021202), we get a palindrome (20323233232302).

The spelling of 20212012211100 in words is "twenty trillion, two hundred twelve billion, twelve million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 113 148 150 185 222 226 300 339 370 444 452 555 565 678 740 925 1110 1130 1356 1695 1850 2220 2260 2775 2825 3390 3700 4181 5550 5650 6780 8362 8475 11100 11300 12543 16724 16950 20905 25086 33900 41810 50172 62715 83620 104525 125430 209050 250860 313575 418100 627150 1254300 16114177 32228354 48342531 64456708 80570885 96685062 161141770 193370124 241712655 322283540 402854425 483425310 596224549 805708850 966850620 1192449098 1208563275 1611417700 1788673647 1820902001 2384898196 2417126550 2981122745 3577347294 3641804002 4834253100 5462706003 5962245490 7154694588 7283608004 8943368235 9104510005 10925412006 11924490980 14905613725 17886736470 18209020010 21850824012 27313530015 29811227450 35773472940 36418040020 44716841175 45522550025 54627060030 59622454900 67373374037 89433682350 91045100050 109254120060 134746748074 136567650075 178867364700 182090200100 202120122111 269493496148 273135300150 336866870185 404240244222 546270600300 673733740370 808480488444 1010600610555 1347467480740 1684334350925 2021201221110 3368668701850 4042402442220 5053003052775 6737337403700 10106006105550 20212012211100