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212020202102100 = 223527100962001001
BaseRepresentation
bin110000001101010011001100…
…110101001101110101010100
31000210200221012102112021120120
4300031103030311031311110
5210242214333214231400
62030532423004431540
762441645154345060
oct6015231465156524
91023627172467516
10212020202102100
11616132988054a7
121b942b288485b0
13913c55b198422
143a4db92696aa0
15197a1ea84cca0
hexc0d4ccd4dd54

212020202102100 has 72 divisors (see below), whose sum is σ = 701080134957888. Its totient is φ = 48461760480000.

The previous prime is 212020202102041. The next prime is 212020202102141. The reversal of 212020202102100 is 1201202020212.

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 212020202102100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50480998401 + ... + 50481002600.

Almost surely, 2212020202102100 is an apocalyptic number.

212020202102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212020202102100 is an abundant number, since it is smaller than the sum of its proper divisors (489059932855788).

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

212020202102100 is a wasteful number, since it uses less digits than its factorization.

212020202102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100962001025 (or 100962001018 counting only the distinct ones).

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

Adding to 212020202102100 its reverse (1201202020212), we get a palindrome (213221404122312).

The spelling of 212020202102100 in words is "two hundred twelve trillion, twenty billion, two hundred two million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 100962001001 201924002002 302886003003 403848004004 504810005005 605772006006 706734007007 1009620010010 1211544012012 1413468014014 1514430015015 2019240020020 2120202021021 2524050025025 2826936028028 3028860030030 3533670035035 4240404042042 5048100050050 6057720060060 7067340070070 7572150075075 8480808084084 10096200100100 10601010105105 14134680140140 15144300150150 17668350175175 21202020210210 30288600300300 35336700350350 42404040420420 53005050525525 70673400700700 106010101051050 212020202102100