Search a number
-
+
102203103222 = 232114314518273
BaseRepresentation
bin101111100101111000…
…1111001011111110110
3100202210201011120201100
41133023301321133312
53133302443300342
6114541303110530
710245455020653
oct1371361713766
9322721146640
10102203103222
113a386a95170
1217983742446
13983a08970c
144d378a8c2a
1529d286ae4c
hex17cbc797f6

102203103222 has 96 divisors (see below), whose sum is σ = 247389158016. Its totient is φ = 30225888000.

The previous prime is 102203103181. The next prime is 102203103227. The reversal of 102203103222 is 222301302201.

102203103222 is a `hidden beast` number, since 10 + 2 + 20 + 310 + 322 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102203103195 and 102203103204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102203103227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12349678 + ... + 12357950.

It is an arithmetic number, because the mean of its divisors is an integer number (2576970396).

Almost surely, 2102203103222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102203103222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123694579008).

102203103222 is an abundant number, since it is smaller than the sum of its proper divisors (145186054794).

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

102203103222 is a wasteful number, since it uses less digits than its factorization.

102203103222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9786 (or 9783 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102203103222 its reverse (222301302201), we get a palindrome (324504405423).

The spelling of 102203103222 in words is "one hundred two billion, two hundred three million, one hundred three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 774 946 1419 1451 2838 2902 4257 4353 8273 8514 8706 13059 15961 16546 24819 26118 31922 47883 49638 62393 74457 91003 95766 124786 143649 148914 182006 187179 273009 287298 355739 374358 546018 561537 686323 711478 819027 1067217 1123074 1372646 1638054 2058969 2134434 3201651 3913129 4117938 6176907 6403302 7826258 11739387 12004123 12353814 23478774 24008246 35218161 36012369 70436322 72024738 108037107 132045353 216074214 264090706 396136059 516177289 792272118 1032354578 1188408177 1548531867 2376816354 3097063734 4645595601 5677950179 9291191202 11355900358 17033850537 34067701074 51101551611 102203103222