Search a number
-
+
201120101212100 = 225271911504264033
BaseRepresentation
bin101101101110101011101100…
…001100001001111111000100
3222101002220010122200012110012
4231232223230030021333010
5202330122431402241400
61551425144325445352
760235306411450130
oct5556535414117704
9871086118605405
10201120101212100
11590a0612a42524
121a68250ab70858
13882b70c6bb1a5
14379439c9dc3c0
15183b8de5eed35
hexb6eaec309fc4

201120101212100 has 72 divisors (see below), whose sum is σ = 501389253700608. Its totient is φ = 68594439859200.

The previous prime is 201120101212091. The next prime is 201120101212117. The reversal of 201120101212100 is 1212101021102.

It is a super-2 number, since 2×2011201012121002 (a number of 29 digits) contains 22 as substring.

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

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, 751998317 + ... + 752265716.

Almost surely, 2201120101212100 is an apocalyptic number.

201120101212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120101212100 is an abundant number, since it is smaller than the sum of its proper divisors (300269152488508).

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

201120101212100 is a wasteful number, since it uses less digits than its factorization.

201120101212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504264245 (or 1504264238 counting only the distinct ones).

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

Adding to 201120101212100 its reverse (1212101021102), we get a palindrome (202332202233202).

The spelling of 201120101212100 in words is "two hundred one trillion, one hundred twenty billion, one hundred one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 191 350 382 700 764 955 1337 1910 2674 3820 4775 5348 6685 9550 13370 19100 26740 33425 66850 133700 1504264033 3008528066 6017056132 7521320165 10529848231 15042640330 21059696462 30085280660 37606600825 42119392924 52649241155 75213201650 105298482310 150426403300 210596964620 263246205775 287314430303 526492411550 574628860606 1052984823100 1149257721212 1436572151515 2011201012121 2873144303030 4022402024242 5746288606060 7182860757575 8044804048484 10056005060605 14365721515150 20112010121210 28731443030300 40224020242420 50280025303025 100560050606050 201120101212100