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11134411110 = 23253727712071
BaseRepresentation
bin10100101111010100…
…11010000101100110
31001201222100200121200
422113222122011212
5140300402123420
65040505023330
7542630634654
oct122752320546
931658320550
1011134411110
1147a40a2959
1221a8a84b46
131085a28b54
14778a9bdd4
1545278eb90
hex297a9a166

11134411110 has 96 divisors (see below), whose sum is σ = 29841694272. Its totient is φ = 2878260480.

The previous prime is 11134411097. The next prime is 11134411117. The reversal of 11134411110 is 1111443111.

11134411110 is a `hidden beast` number, since 1 + 113 + 441 + 1 + 110 = 666.

11134411110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111344111102 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11134411117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 916375 + ... + 928445.

It is an arithmetic number, because the mean of its divisors is an integer number (310850982).

Almost surely, 211134411110 is an apocalyptic number.

11134411110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11134411110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14920847136).

11134411110 is an abundant number, since it is smaller than the sum of its proper divisors (18707283162).

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

11134411110 is a wasteful number, since it uses less digits than its factorization.

11134411110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12398 (or 12395 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11134411110 its reverse (1111443111), we get a palindrome (12245854221).

The spelling of 11134411110 in words is "eleven billion, one hundred thirty-four million, four hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 277 333 370 554 555 666 831 1110 1385 1662 1665 2493 2770 3330 4155 4986 8310 10249 12071 12465 20498 24142 24930 30747 36213 51245 60355 61494 72426 92241 102490 108639 120710 153735 181065 184482 217278 307470 362130 446627 461205 543195 893254 922410 1086390 1339881 2233135 2679762 3343667 4019643 4466270 6687334 6699405 8039286 10031001 13398810 16718335 20062002 20098215 30093003 33436670 40196430 50155005 60186006 100310010 123715679 150465015 247431358 300930030 371147037 618578395 742294074 1113441111 1237156790 1855735185 2226882222 3711470370 5567205555 11134411110