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11001120 = 2535134143
BaseRepresentation
bin101001111101…
…110100100000
3202200220200220
4221331310200
510304013440
61031443040
7162336144
oct51756440
922626626
1011001120
116234339
123826480
132382450
141665224
15e748d0
hexa7dd20

11001120 has 192 divisors, whose sum is σ = 39118464. Its totient is φ = 2580480.

The previous prime is 11001103. The next prime is 11001131. The reversal of 11001120 is 2110011.

11001120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 11001099 and 11001108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255819 + ... + 255861.

It is an arithmetic number, because the mean of its divisors is an integer number (203742).

Almost surely, 211001120 is an apocalyptic number.

11001120 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 11001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19559232).

11001120 is an abundant number, since it is smaller than the sum of its proper divisors (28117344).

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

11001120 is a wasteful number, since it uses less digits than its factorization.

11001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 11001120 is about 3316.7936324107. The cubic root of 11001120 is about 222.4055568544.

Adding to 11001120 its reverse (2110011), we get a palindrome (13111131).

The spelling of 11001120 in words is "eleven million, one thousand, one hundred twenty".