Search a number
-
+
201111122002200 = 23352477131600071
BaseRepresentation
bin101101101110100011010100…
…111111001100000100011000
3222101002000221212201002002120
4231232203110333030010120
5202330001034213032300
61551421101330101240
760234541040435454
oct5556432477140430
9871060855632076
10201111122002200
11590978254611a3
121a680823a1a820
13882a90b339b37
143793b8a279664
15183b56617d3a0
hexb6e8d4fcc118

201111122002200 has 96 divisors (see below), whose sum is σ = 636709254428160. Its totient is φ = 52488576515200.

The previous prime is 201111122002183. The next prime is 201111122002211. The reversal of 201111122002200 is 2200221111102.

201111122002200 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201111122002200.

It is a congruent number.

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, 3565771836 + ... + 3565828235.

It is an arithmetic number, because the mean of its divisors is an integer number (6632388066960).

Almost surely, 2201111122002200 is an apocalyptic number.

201111122002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201111122002200 is an abundant number, since it is smaller than the sum of its proper divisors (435598132425960).

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

201111122002200 is a wasteful number, since it uses less digits than its factorization.

201111122002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131600137 (or 7131600128 counting only the distinct ones).

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

Adding to 201111122002200 its reverse (2200221111102), we get a palindrome (203311343113302).

The spelling of 201111122002200 in words is "two hundred one trillion, one hundred eleven billion, one hundred twenty-two million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 141 150 188 200 235 282 300 376 470 564 600 705 940 1128 1175 1410 1880 2350 2820 3525 4700 5640 7050 9400 14100 28200 7131600071 14263200142 21394800213 28526400284 35658000355 42789600426 57052800568 71316000710 85579200852 106974001065 142632001420 171158401704 178290001775 213948002130 285264002840 335185203337 356580003550 427896004260 534870005325 670370406674 713160007100 855792008520 1005555610011 1069740010650 1340740813348 1426320014200 1675926016685 2011111220022 2139480021300 2681481626696 3351852033370 4022222440044 4278960042600 5027778050055 6703704066740 8044444880088 8379630083425 10055556100110 13407408133480 16759260166850 20111112200220 25138890250275 33518520333700 40222224400440 50277780500550 67037040667400 100555561001100 201111122002200