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11040114120 = 2335743537379
BaseRepresentation
bin10100100100000101…
…01100010111001000
31001111101220220110120
422102002230113020
5140102232122440
65023255543240
7540404264430
oct122202542710
931441826416
1011040114120
114755947162
12218138ab20
13106c331109
1476a3532c0
15449364dd0
hex2920ac5c8

11040114120 has 512 divisors, whose sum is σ = 40509849600. Its totient is φ = 2354946048.

The previous prime is 11040114119. The next prime is 11040114121. The reversal of 11040114120 is 2141104011.

It is an interprime number because it is at equal distance from previous prime (11040114119) and next prime (11040114121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11040114120.

It is not an unprimeable number, because it can be changed into a prime (11040114121) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 139748241 + ... + 139748319.

It is an arithmetic number, because the mean of its divisors is an integer number (79120800).

Almost surely, 211040114120 is an apocalyptic number.

11040114120 is a gapful number since it is divisible by the number (10) 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 11040114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20254924800).

11040114120 is an abundant number, since it is smaller than the sum of its proper divisors (29469735480).

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

11040114120 is a wasteful number, since it uses less digits than its factorization.

11040114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11040114120 its reverse (2141104011), we get a palindrome (13181218131).

The spelling of 11040114120 in words is "eleven billion, forty million, one hundred fourteen thousand, one hundred twenty".