Search a number
-
+
210100101120210 = 23573115011641981
BaseRepresentation
bin101111110001010110111101…
…111001010000000011010010
31000112220101002021210002111110
4233301112331321100003102
5210014240001341321320
62022502353132554150
762153142236316540
oct5761267571200322
91015811067702443
10210100101120210
1160a42a52869594
121b692982922956
13903047bb70482
1439c4c833b6d90
1519452bc0435e0
hexbf15bde500d2

210100101120210 has 128 divisors (see below), whose sum is σ = 578243808350208. Its totient is φ = 47858838624000.

The previous prime is 210100101120187. The next prime is 210100101120229. The reversal of 210100101120210 is 12021101001012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326947420 + ... + 327589400.

It is an arithmetic number, because the mean of its divisors is an integer number (4517529752736).

Almost surely, 2210100101120210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210100101120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289121904175104).

210100101120210 is an abundant number, since it is smaller than the sum of its proper divisors (368143707229998).

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

210100101120210 is a wasteful number, since it uses less digits than its factorization.

210100101120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647320.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210100101120210 its reverse (12021101001012), we get a palindrome (222121202121222).

The spelling of 210100101120210 in words is "two hundred ten trillion, one hundred billion, one hundred one million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 311 622 933 1555 1866 2177 3110 4354 4665 5011 6531 9330 10022 10885 13062 15033 21770 25055 30066 32655 35077 50110 65310 70154 75165 105231 150330 175385 210462 350770 526155 641981 1052310 1283962 1558421 1925943 3116842 3209905 3851886 4493867 4675263 6419810 7792105 8987734 9350526 9629715 10908947 13481601 15584210 19259430 21817894 22469335 23376315 26963202 32726841 44938670 46752630 54544735 65453682 67408005 109089470 134816010 163634205 199656091 327268410 399312182 598968273 998280455 1197936546 1397592637 1996560910 2795185274 2994841365 3216966791 4192777911 5989682730 6433933582 6987963185 8385555822 9650900373 13975926370 16084833955 19301800746 20963889555 22518767537 32169667910 41927779110 45037535074 48254501865 67556302611 96509003730 112593837685 135112605222 225187675370 337781513055 675563026110 1000476672001 2000953344002 3001430016003 5002383360005 6002860032006 7003336704007 10004766720010 14006673408014 15007150080015 21010010112021 30014300160030 35016683520035 42020020224042 70033367040070 105050050560105 210100101120210