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211231023010020 = 223251390269667953
BaseRepresentation
bin110000000001110100001110…
…000101111001000011100100
31000200220111012011211121200100
4300001310032011321003210
5210141302113342310040
62025130105313544100
762330636443631406
oct6001641605710344
91020814164747610
10211231023010020
1161339634787012
121b835ba2275030
1390b2cccccc860
143a238c9502b76
15196490c520b30
hexc01d0e1790e4

211231023010020 has 72 divisors (see below), whose sum is σ = 690021341840376. Its totient is φ = 51995328740352.

The previous prime is 211231023010009. The next prime is 211231023010037. The reversal of 211231023010020 is 20010320132112.

211231023010020 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 310 + 230 + 100 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42560905872384 + 168670117137636 = 6523872^2 + 12987306^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211231023009975 and 211231023010002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45134831637 + ... + 45134836316.

It is an arithmetic number, because the mean of its divisors is an integer number (9583629747783).

Almost surely, 2211231023010020 is an apocalyptic number.

211231023010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211231023010020 is an abundant number, since it is smaller than the sum of its proper divisors (478790318830356).

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

211231023010020 is a wasteful number, since it uses less digits than its factorization.

211231023010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90269667981 (or 90269667976 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211231023010020 its reverse (20010320132112), we get a palindrome (231241343142132).

The spelling of 211231023010020 in words is "two hundred eleven trillion, two hundred thirty-one billion, twenty-three million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 90269667953 180539335906 270809003859 361078671812 451348339765 541618007718 812427011577 902696679530 1083236015436 1173505683389 1354045019295 1624854023154 1805393359060 2347011366778 2708090038590 3249708046308 3520517050167 4062135057885 4694022733556 5416180077180 5867528416945 7041034100334 8124270115770 10561551150501 11735056833890 14082068200668 16248540231540 17602585250835 21123102301002 23470113667780 35205170501670 42246204602004 52807755752505 70410341003340 105615511505010 211231023010020