Search a number
-
+
11050436112 = 24323412411013
BaseRepresentation
bin10100100101010100…
…00100011000010000
31001112010100022120120
422102222010120100
5140112402423422
65024305110240
7540561104622
oct122252043020
931463308516
1011050436112
114760757231
122184928380
1310715063c1
1476b87cc12
1544a20345c
hex292a84610

11050436112 has 160 divisors (see below), whose sum is σ = 30671536896. Its totient is φ = 3419750400.

The previous prime is 11050436063. The next prime is 11050436113. The reversal of 11050436112 is 21163405011.

It is a happy number.

It is a super-2 number, since 2×110504361122 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11050436113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10908118 + ... + 10909130.

Almost surely, 211050436112 is an apocalyptic number.

11050436112 is a gapful number since it is divisible by the number (12) 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 11050436112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15335768448).

11050436112 is an abundant number, since it is smaller than the sum of its proper divisors (19621100784).

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

11050436112 is a wasteful number, since it uses less digits than its factorization.

11050436112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 11050436112 in words is "eleven billion, fifty million, four hundred thirty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 41 46 48 69 82 92 123 138 164 184 241 246 276 328 368 482 492 552 656 723 943 964 984 1013 1104 1446 1886 1928 1968 2026 2829 2892 3039 3772 3856 4052 5543 5658 5784 6078 7544 8104 9881 11086 11316 11568 12156 15088 16208 16629 19762 22172 22632 23299 24312 29643 33258 39524 41533 44344 45264 46598 48624 59286 66516 69897 79048 83066 88688 93196 118572 124599 133032 139794 158096 166132 186392 227263 237144 244133 249198 266064 279588 332264 372784 454526 474288 488266 498396 559176 664528 681789 732399 909052 955259 976532 996792 1118352 1363578 1464798 1818104 1910518 1953064 1993584 2727156 2865777 2929596 3636208 3821036 3906128 5454312 5615059 5731554 5859192 7642072 10009453 10908624 11230118 11463108 11718384 15284144 16845177 20018906 22460236 22926216 30028359 33690354 40037812 44920472 45852432 60056718 67380708 80075624 89840944 120113436 134761416 160151248 230217419 240226872 269522832 460434838 480453744 690652257 920869676 1381304514 1841739352 2762609028 3683478704 5525218056 11050436112