Search a number
-
+
201122020002120 = 233572111134743963
BaseRepresentation
bin101101101110101101011110…
…100011110000100101001000
3222101010002002101012211112020
4231232231132203300211020
5202330140344110031440
61551430102552044440
760235405101056130
oct5556553643604510
9871102071184466
10201122020002120
11590a14080618a8
121a682965693720
13882b9570a04b9
143794501797ac0
15183b9a2cc03d0
hexb6eb5e8f0948

201122020002120 has 128 divisors (see below), whose sum is σ = 692829274659840. Its totient is φ = 45752876547840.

The previous prime is 201122020002119. The next prime is 201122020002229. The reversal of 201122020002120 is 21200020221102.

It is a super-3 number, since 3×2011220200021203 (a number of 44 digits) contains 333 as substring.

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 201122020002120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567194742 + ... + 567549221.

It is an arithmetic number, because the mean of its divisors is an integer number (5412728708280).

Almost surely, 2201122020002120 is an apocalyptic number.

201122020002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122020002120 is an abundant number, since it is smaller than the sum of its proper divisors (491707254657720).

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

201122020002120 is a wasteful number, since it uses less digits than its factorization.

201122020002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134744195 (or 1134744191 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 201122020002120 its reverse (21200020221102), we get a palindrome (222322040223222).

The spelling of 201122020002120 in words is "two hundred one trillion, one hundred twenty-two billion, twenty million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 211 280 420 422 633 840 844 1055 1266 1477 1688 2110 2532 2954 3165 4220 4431 5064 5908 6330 7385 8440 8862 11816 12660 14770 17724 22155 25320 29540 35448 44310 59080 88620 177240 1134743963 2269487926 3404231889 4538975852 5673719815 6808463778 7943207741 9077951704 11347439630 13616927556 15886415482 17021159445 22694879260 23829623223 27233855112 31772830964 34042318890 39716038705 45389758520 47659246446 63545661928 68084637780 79432077410 95318492892 119148116115 136169275560 158864154820 190636985784 238296232230 239430976193 317728309640 476592464460 478861952386 718292928579 953184928920 957723904772 1197154880965 1436585857158 1676016833351 1915447809544 2394309761930 2873171714316 3352033666702 3591464642895 4788619523860 5028050500053 5746343428632 6704067333404 7182929285790 8380084166755 9577239047720 10056101000106 13408134666808 14365858571580 16760168333510 20112202000212 25140252500265 28731717143160 33520336667020 40224404000424 50280505000530 67040673334040 100561010001060 201122020002120