Search a number
-
+
102102001002200 = 23523713999263077
BaseRepresentation
bin10111001101110001111001…
…100000000010011011011000
3111101111212010000001011111002
4113031301321200002123120
5101340314344224032300
61001053002311124132
730335424523643423
oct2715617140023330
9441455100034432
10102102001002200
112a595240854691
12b550075673648
1344c823c925304
141b2da9839c9ba
15bc0d924e65d5
hex5cdc798026d8

102102001002200 has 96 divisors (see below), whose sum is σ = 245557002356400. Its totient is φ = 39451116925440.

The previous prime is 102102001002191. The next prime is 102102001002203. The reversal of 102102001002200 is 2200100201201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102001002203) 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, 48602939 + ... + 50660138.

Almost surely, 2102102001002200 is an apocalyptic number.

102102001002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102001002200 is an abundant number, since it is smaller than the sum of its proper divisors (143455001354200).

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

102102001002200 is a wasteful number, since it uses less digits than its factorization.

102102001002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99263269 (or 99263260 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102102001002200 its reverse (2200100201201), we get a palindrome (104302101203401).

The spelling of 102102001002200 in words is "one hundred two trillion, one hundred two billion, one million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 139 148 185 200 278 296 370 556 695 740 925 1112 1390 1480 1850 2780 3475 3700 5143 5560 6950 7400 10286 13900 20572 25715 27800 41144 51430 102860 128575 205720 257150 514300 1028600 99263077 198526154 397052308 496315385 794104616 992630770 1985261540 2481576925 3672733849 3970523080 4963153850 7345467698 9926307700 13797567703 14690935396 18363669245 19852615400 27595135406 29381870792 36727338490 55190270812 68987838515 73454676980 91818346225 110380541624 137975677030 146909353960 183636692450 275951354060 344939192575 367273384900 510510005011 551902708120 689878385150 734546769800 1021020010022 1379756770300 2042040020044 2552550025055 2759513540600 4084080040088 5105100050110 10210200100220 12762750125275 20420400200440 25525500250550 51051000501100 102102001002200