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11131121120 = 2557191015179
BaseRepresentation
bin10100101110111011…
…10110110111100000
31001201202011112121012
422113131312313200
5140244031333440
65040310320052
7542560653110
oct122735666740
931652145535
1011131121120
1147a2256059
1221a7959028
131085146502
14778483040
1545233ee65
hex297776de0

11131121120 has 192 divisors, whose sum is σ = 31955212800. Its totient is φ = 3579033600.

The previous prime is 11131121021. The next prime is 11131121129. The reversal of 11131121120 is 2112113111.

It is a super-2 number, since 2×111311211202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11131121095 and 11131121104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131121129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2146691 + ... + 2151869.

It is an arithmetic number, because the mean of its divisors is an integer number (166433400).

Almost surely, 211131121120 is an apocalyptic number.

11131121120 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 11131121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15977606400).

11131121120 is an abundant number, since it is smaller than the sum of its proper divisors (20824091680).

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

11131121120 is a wasteful number, since it uses less digits than its factorization.

11131121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11131121120 its reverse (2112113111), we get a palindrome (13243234231).

It can be divided in two parts, 11 and 131121120, that added together give a palindrome (131121131).

The spelling of 11131121120 in words is "eleven billion, one hundred thirty-one million, one hundred twenty-one thousand, one hundred twenty".