Search a number
-
+
201111111202120 = 23572461222576377
BaseRepresentation
bin101101101110100011010100…
…010101111111010101001000
3222101002000221010101101011121
4231232203110111333111020
5202330001023431431440
61551421100302405024
760234540546564400
oct5556432425772510
9871060833341147
10201111111202120
115909781a354a09
121a680820290774
13882a909028062
143793b88a67800
15183b56524834a
hexb6e8d457f548

201111111202120 has 96 divisors (see below), whose sum is σ = 527519370442680. Its totient is φ = 68802809349120.

The previous prime is 201111111202097. The next prime is 201111111202147. The reversal of 201111111202120 is 21202111111102.

It can be written as a sum of positive squares in 4 ways, for example, as 84927762571876 + 116183348630244 = 9215626^2 + 10778838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201111111202094 and 201111111202103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110384629 + ... + 112191748.

Almost surely, 2201111111202120 is an apocalyptic number.

201111111202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201111111202120 is an abundant number, since it is smaller than the sum of its proper divisors (326408259240560).

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

201111111202120 is a wasteful number, since it uses less digits than its factorization.

201111111202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222576863 (or 222576852 counting only the distinct ones).

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

Adding to 201111111202120 its reverse (21202111111102), we get a palindrome (222313222313222).

The spelling of 201111111202120 in words is "two hundred one trillion, one hundred eleven billion, one hundred eleven million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 461 490 922 980 1844 1960 2305 3227 3688 4610 6454 9220 12908 16135 18440 22589 25816 32270 45178 64540 90356 112945 129080 180712 225890 451780 903560 222576377 445152754 890305508 1112881885 1558034639 1780611016 2225763770 3116069278 4451527540 6232138556 7790173195 8903055080 10906242473 12464277112 15580346390 21812484946 31160692780 43624969892 54531212365 62321385560 87249939784 102607709797 109062424730 205215419594 218124849460 410430839188 436249698920 513038548985 718253968579 820861678376 1026077097970 1436507937158 2052154195940 2873015874316 3591269842895 4104308391880 5027777780053 5746031748632 7182539685790 10055555560106 14365079371580 20111111120212 25138888900265 28730158743160 40222222240424 50277777800530 100555555601060 201111111202120