Search a number
-
+
11222102102100 = 22352231818985589
BaseRepresentation
bin1010001101001101100101…
…1010001101000001010100
31110201211012120221111000220
42203103121122031001110
52432330331114231400
635511210150234340
72235525102664641
oct243233132150124
943654176844026
1011222102102100
1136372a309359a
121312b033559b0
13635316793746
142ab21cbb4dc8
15146da51c97a0
hexa34d968d054

11222102102100 has 144 divisors (see below), whose sum is σ = 34068181580160. Its totient is φ = 2846634278400.

The previous prime is 11222102102093. The next prime is 11222102102111. The reversal of 11222102102100 is 120120122211.

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 11222102102100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3243895 + ... + 5741694.

Almost surely, 211222102102100 is an apocalyptic number.

11222102102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222102102100 is an abundant number, since it is smaller than the sum of its proper divisors (22846079478060).

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

11222102102100 is a wasteful number, since it uses less digits than its factorization.

11222102102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8985810 (or 8985803 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11222102102100 its reverse (120120122211), we get a palindrome (11342222224311).

The spelling of 11222102102100 in words is "eleven trillion, two hundred twenty-two billion, one hundred two million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 181 230 276 300 345 362 460 543 575 690 724 905 1086 1150 1380 1725 1810 2172 2300 2715 3450 3620 4163 4525 5430 6900 8326 9050 10860 12489 13575 16652 18100 20815 24978 27150 41630 49956 54300 62445 83260 104075 124890 208150 249780 312225 416300 624450 1248900 8985589 17971178 26956767 35942356 44927945 53913534 89855890 107827068 134783835 179711780 206668547 224639725 269567670 413337094 449279450 539135340 620005641 673919175 826674188 898558900 1033342735 1240011282 1347838350 1626391609 2066685470 2480022564 2695676700 3100028205 3252783218 4133370940 4879174827 5166713675 6200056410 6505566436 8131958045 9758349654 10333427350 12400112820 15500141025 16263916090 19516699308 20666854700 24395874135 31000282050 32527832180 37407007007 40659790225 48791748270 62000564100 74814014014 81319580450 97583496540 112221021021 121979370675 149628028028 162639160900 187035035035 224442042042 243958741350 374070070070 448884084084 487917482700 561105105105 748140140140 935175175175 1122210210210 1870350350350 2244420420420 2805525525525 3740700700700 5611051051050 11222102102100