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11213324304 = 24371317151009
BaseRepresentation
bin10100111000101110…
…11100000000010000
31001221110211220011120
422130113130000100
5140431102334204
65052404242240
7544606453410
oct123427340020
931843756146
1011213324304
1148346a1576
12220b3a0380
131099198650
14785360640
1545967b6d9
hex29c5dc010

11213324304 has 160 divisors (see below), whose sum is σ = 37750083840. Its totient is φ = 2783379456.

The previous prime is 11213324279. The next prime is 11213324333. The reversal of 11213324304 is 40342331211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1249 + ... + 149760.

It is an arithmetic number, because the mean of its divisors is an integer number (235938024).

Almost surely, 211213324304 is an apocalyptic number.

11213324304 is a gapful number since it is divisible by the number (14) 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 11213324304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18875041920).

11213324304 is an abundant number, since it is smaller than the sum of its proper divisors (26536759536).

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

11213324304 is a wasteful number, since it uses less digits than its factorization.

11213324304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151057 (or 151051 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11213324304 its reverse (40342331211), we get a palindrome (51555655515).

The spelling of 11213324304 in words is "eleven billion, two hundred thirteen million, three hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 51 52 56 68 78 84 91 102 104 112 119 136 156 168 182 204 208 221 238 272 273 312 336 357 364 408 442 476 546 624 663 714 728 816 884 952 1092 1326 1428 1456 1547 1768 1904 2184 2652 2856 3094 3536 4368 4641 5304 5712 6188 9282 10608 12376 18564 24752 37128 74256 151009 302018 453027 604036 906054 1057063 1208072 1812108 1963117 2114126 2416144 2567153 3171189 3624216 3926234 4228252 5134306 5889351 6342378 7248432 7701459 7852468 8456504 10268612 11778702 12684756 13741819 15402918 15704936 16913008 17970071 20537224 23557404 25369512 27483638 30805836 31409872 33372989 35940142 41074448 41225457 47114808 50739024 53910213 54967276 61611672 66745978 71880284 82450914 94229616 100118967 107820426 109934552 123223344 133491956 143760568 164901828 200237934 215640852 219869104 233610923 266983912 287521136 329803656 400475868 431281704 467221846 533967824 659607312 700832769 800951736 862563408 934443692 1401665538 1601903472 1868887384 2803331076 3737774768 5606662152 11213324304