Search a number
-
+
2201102002200 = 2335219193079123
BaseRepresentation
bin100000000001111011111…
…001110010100000011000
321210102102120202001021210
4200001323321302200120
5242030324103032300
64403101114503120
7315011234214333
oct40017371624030
97712376661253
102201102002200
11779533774602
122b6708734aa0
1312c741c8564a
147876907161a
153c3c8081050
hex2007be72818

2201102002200 has 96 divisors (see below), whose sum is σ = 7182543412800. Its totient is φ = 556067871360.

The previous prime is 2201102002199. The next prime is 2201102002207. The reversal of 2201102002200 is 22002011022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201102002207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96528162 + ... + 96550961.

It is an arithmetic number, because the mean of its divisors is an integer number (74818160550).

Almost surely, 22201102002200 is an apocalyptic number.

2201102002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201102002200 is an abundant number, since it is smaller than the sum of its proper divisors (4981441410600).

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

2201102002200 is a wasteful number, since it uses less digits than its factorization.

2201102002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193079161 (or 193079152 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2201102002200 its reverse (22002011022), we get a palindrome (2223104013222).

The spelling of 2201102002200 in words is "two trillion, two hundred one billion, one hundred two million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 193079123 386158246 579237369 772316492 965395615 1158474738 1544632984 1930791230 2316949476 2896186845 3668503337 3861582460 4633898952 4826978075 5792373690 7337006674 7723164920 9653956150 11005510011 11584747380 14480934225 14674013348 18342516685 19307912300 22011020022 23169494760 28961868450 29348026696 36685033370 38615824600 44022040044 55027550055 57923736900 73370066740 88044080088 91712583425 110055100110 115847473800 146740133480 183425166850 220110200220 275137750275 366850333700 440220400440 550275500550 733700667400 1100551001100 2201102002200