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11133320112 = 2432973472297
BaseRepresentation
bin10100101111001100…
…01111101110110000
31001201220022021001100
422113212033232300
5140300112220422
65040425404400
7542615442135
oct122746175660
931656267040
1011133320112
1147a3518202
1221a8639700
1310857363a5
1477889658c
154526267ac
hex29798fbb0

11133320112 has 120 divisors (see below), whose sum is σ = 31583509776. Its totient is φ = 3660668928.

The previous prime is 11133320087. The next prime is 11133320117. The reversal of 11133320112 is 21102333111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11133320117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4845748 + ... + 4848044.

Almost surely, 211133320112 is an apocalyptic number.

11133320112 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 11133320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15791754888).

11133320112 is an abundant number, since it is smaller than the sum of its proper divisors (20450189664).

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

11133320112 is a wasteful number, since it uses less digits than its factorization.

11133320112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11133320112 its reverse (21102333111), we get a palindrome (32235653223).

The spelling of 11133320112 in words is "eleven billion, one hundred thirty-three million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 347 388 582 694 776 873 1041 1164 1388 1552 1746 2082 2297 2328 2776 3123 3492 4164 4594 4656 5552 6246 6891 6984 8328 9188 12492 13782 13968 16656 18376 20673 24984 27564 33659 36752 41346 49968 55128 67318 82692 100977 110256 134636 165384 201954 222809 269272 302931 330768 403908 445618 538544 605862 668427 797059 807816 891236 1211724 1336854 1594118 1615632 1782472 2005281 2391177 2423448 2673708 3188236 3564944 4010562 4782354 4846896 5347416 6376472 7173531 8021124 9564708 10694832 12752944 14347062 16042248 19129416 28694124 32084496 38258832 57388248 77314723 114776496 154629446 231944169 309258892 463888338 618517784 695832507 927776676 1237035568 1391665014 1855553352 2783330028 3711106704 5566660056 11133320112