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212110102100120 = 23572332332566789
BaseRepresentation
bin110000001110100110111011…
…010010011111100010011000
31000211000112020201020100202212
4300032212323102133202120
5210300202442114200440
62031042011413414252
762451310030620500
oct6016467322374230
91024015221210685
10212110102100120
1161648430a33624
121b95843803a388
139147b87376023
143a542801a2a00
15197c70d024465
hexc0e9bb49f898

212110102100120 has 96 divisors (see below), whose sum is σ = 555332811094800. Its totient is φ = 72701576462592.

The previous prime is 212110102100081. The next prime is 212110102100129. The reversal of 212110102100120 is 21001201011212.

212110102100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 212110102100095 and 212110102100104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212110102100129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9770315 + ... + 22796474.

Almost surely, 2212110102100120 is an apocalyptic number.

212110102100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212110102100120 is an abundant number, since it is smaller than the sum of its proper divisors (343222708994680).

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

212110102100120 is a wasteful number, since it uses less digits than its factorization.

212110102100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32570137 (or 32570126 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212110102100120 its reverse (21001201011212), we get a palindrome (233111303111332).

The spelling of 212110102100120 in words is "two hundred twelve trillion, one hundred ten billion, one hundred two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 3323 6646 13292 16615 23261 26584 33230 46522 66460 93044 116305 132920 162827 186088 232610 325654 465220 651308 814135 930440 1302616 1628270 3256540 6513080 32566789 65133578 130267156 162833945 227967523 260534312 325667890 455935046 651335780 911870092 1139837615 1302671560 1595772661 1823740184 2279675230 3191545322 4559350460 6383090644 7978863305 9118700920 12766181288 15957726610 31915453220 63830906440 108219439847 216438879694 432877759388 541097199235 757536078929 865755518776 1082194398470 1515072157858 2164388796940 3030144315716 3787680394645 4328777593880 5302752552503 6060288631432 7575360789290 10605505105006 15150721578580 21211010210012 26513762762515 30301443157160 42422020420024 53027525525030 106055051050060 212110102100120