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11121334224 = 24371113231463
BaseRepresentation
bin10100101101110001…
…00001011111010000
31001201001202022111120
422112320201133100
5140234030143344
65035320442240
7542411531640
oct122670413720
931631668446
1011121334224
114797781010
1221a4619380
1310830ca950
14777056520
1545155a219
hex296e217d0

11121334224 has 160 divisors (see below), whose sum is σ = 38574864384. Its totient is φ = 2666442240.

The previous prime is 11121334219. The next prime is 11121334243. The reversal of 11121334224 is 42243312111.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11121334194 and 11121334203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67684 + ... + 163779.

Almost surely, 211121334224 is an apocalyptic number.

11121334224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11121334224 is an abundant number, since it is smaller than the sum of its proper divisors (27453530160).

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

11121334224 is a wasteful number, since it uses less digits than its factorization.

11121334224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231505 (or 231499 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 11121334224 its reverse (42243312111), we get a palindrome (53364646335).

The spelling of 11121334224 in words is "eleven billion, one hundred twenty-one million, three hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 24024 48048 231463 462926 694389 925852 1388778 1620241 1851704 2546093 2777556 3009019 3240482 3703408 4860723 5092186 5555112 6018038 6480964 7638279 9027057 9721446 10184372 11110224 12036076 12961928 15276558 17822651 18054114 19442892 20368744 21063133 24072152 25923856 30553116 33099209 35645302 36108228 38885784 40737488 42126266 48144304 53467953 61106232 63189399 66198418 71290604 72216456 77771568 84252532 99297627 106935906 122212464 126378798 132396836 142581208 144432912 168505064 198595254 213871812 231694463 252757596 264793672 285162416 337010128 397190508 427743624 463388926 505515192 529587344 695083389 794381016 855487248 926777852 1011030384 1390166778 1588762032 1853555704 2780333556 3707111408 5560667112 11121334224