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11230013013120 = 27325111912897237
BaseRepresentation
bin1010001101101011000011…
…1011111011110010000000
31110202120121220201101211100
42203122300323323302000
52432443031312404440
635514555144414400
72236225122425316
oct243326073736200
943676556641740
1011230013013120
11363a692642090
121314550777400
13635ca7713495
142ab76d6cc0b6
151471b9978230
hexa36b0efbc80

11230013013120 has 768 divisors, whose sum is σ = 44571198672000. Its totient is φ = 2576784752640.

The previous prime is 11230013013071. The next prime is 11230013013127. The reversal of 11230013013120 is 2131031003211.

11230013013120 is a `hidden beast` number, since 1 + 12 + 300 + 1 + 301 + 31 + 20 = 666.

11230013013120 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 2×112300130131202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11230013013093 and 11230013013102.

It is not an unprimeable number, because it can be changed into a prime (11230013013127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1551746142 + ... + 1551753378.

Almost surely, 211230013013120 is an apocalyptic number.

11230013013120 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 11230013013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22285599336000).

11230013013120 is an abundant number, since it is smaller than the sum of its proper divisors (33341185658880).

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

11230013013120 is a wasteful number, since it uses less digits than its factorization.

11230013013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8581 (or 8566 counting only the distinct ones).

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

Adding to 11230013013120 its reverse (2131031003211), we get a palindrome (13361044016331).

The spelling of 11230013013120 in words is "eleven trillion, two hundred thirty billion, thirteen million, thirteen thousand, one hundred twenty".