Search a number
-
+
210110001122200 = 235222728871603039
BaseRepresentation
bin101111110001100000001011…
…111110110000101110011000
31000112221022122020101022010211
4233301200023332300232120
5210014420240241402300
62022511111344220504
762153642461045234
oct5761401376605630
91015838566338124
10210110001122200
1160a47173093613
121b69488630a734
139031398c1800a
1439c55421495c4
15194569b24c4ba
hexbf180bfb0b98

210110001122200 has 96 divisors (see below), whose sum is σ = 490828020710400. Its totient is φ = 83644727437440.

The previous prime is 210110001122183. The next prime is 210110001122209. The reversal of 210110001122200 is 2221100011012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210110001122209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130268281 + ... + 131871319.

It is an arithmetic number, because the mean of its divisors is an integer number (5112791882400).

Almost surely, 2210110001122200 is an apocalyptic number.

210110001122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210110001122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245414010355200).

210110001122200 is an abundant number, since it is smaller than the sum of its proper divisors (280718019588200).

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

210110001122200 is a wasteful number, since it uses less digits than its factorization.

210110001122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606169 (or 1606160 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210110001122200 its reverse (2221100011012), we get a palindrome (212331101133212).

The spelling of 210110001122200 in words is "two hundred ten trillion, one hundred ten billion, one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 227 454 908 1135 1816 2270 2887 4540 5675 5774 9080 11350 11548 14435 22700 23096 28870 45400 57740 72175 115480 144350 288700 577400 655349 1310698 1603039 2621396 3206078 3276745 5242792 6412156 6553490 8015195 12824312 13106980 16030390 16383725 26213960 32060780 32767450 40075975 64121560 65534900 80151950 131069800 160303900 320607800 363889853 727779706 1455559412 1819449265 2911118824 3638898530 4627973593 7277797060 9097246325 9255947186 14555594120 18194492650 18511894372 23139867965 36388985300 37023788744 46279735930 72777970600 92559471860 115699339825 185118943720 231398679650 462797359300 925594718600 1050550005611 2101100011222 4202200022444 5252750028055 8404400044888 10505500056110 21011000112220 26263750140275 42022000224440 52527500280550 105055000561100 210110001122200