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11324030220 = 22325234363611
BaseRepresentation
bin10101000101111011…
…01111110100001100
31002020012011100010200
422202331233310030
5141142422431340
65111401133500
7550422445236
oct124275576414
932205140120
1011324030220
114891135568
12224048a290
1310b60ba0c9
14795d3b256
15464248330
hex2a2f6fd0c

11324030220 has 144 divisors (see below), whose sum is σ = 36677152512. Its totient is φ = 2821230720.

The previous prime is 11324030213. The next prime is 11324030251. The reversal of 11324030220 is 2203042311.

11324030220 is a `hidden beast` number, since 11 + 32 + 403 + 0 + 220 = 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 = 11324030193 and 11324030202.

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, 146215 + ... + 209825.

It is an arithmetic number, because the mean of its divisors is an integer number (254702448).

Almost surely, 211324030220 is an apocalyptic number.

11324030220 is a gapful number since it is divisible by the number (10) 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 11324030220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338576256).

11324030220 is an abundant number, since it is smaller than the sum of its proper divisors (25353122292).

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

11324030220 is a wasteful number, since it uses less digits than its factorization.

11324030220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63692 (or 63687 counting only the distinct ones).

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

Adding to 11324030220 its reverse (2203042311), we get a palindrome (13527072531).

The spelling of 11324030220 in words is "eleven billion, three hundred twenty-four million, thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 43 45 46 60 69 86 90 92 115 129 138 172 180 207 215 230 258 276 345 387 414 430 460 516 645 690 774 828 860 989 1035 1290 1380 1548 1935 1978 2070 2580 2967 3870 3956 4140 4945 5934 7740 8901 9890 11868 14835 17802 19780 29670 35604 44505 59340 63611 89010 127222 178020 190833 254444 318055 381666 572499 636110 763332 954165 1144998 1272220 1463053 1908330 2289996 2735273 2862495 2926106 3816660 4389159 5470546 5724990 5852212 7315265 8205819 8778318 10941092 11449980 13167477 13676365 14630530 16411638 17556636 21945795 24617457 26334954 27352730 29261060 32823276 41029095 43891590 49234914 52669908 54705460 62911279 65837385 82058190 87783180 98469828 123087285 125822558 131674770 164116380 188733837 246174570 251645116 263349540 314556395 377467674 492349140 566201511 629112790 754935348 943669185 1132403022 1258225580 1887338370 2264806044 2831007555 3774676740 5662015110 11324030220