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11223101120 = 2657211312099
BaseRepresentation
bin10100111001111001…
…01110111011000000
31001222011020121102212
422130330232323000
5140441103213440
65053354001252
7545055533300
oct123474567300
931864217385
1011223101120
11483a169a90
122212716228
13109b20c74a
14786787600
1545a45d465
hex29cf2eec0

11223101120 has 336 divisors, whose sum is σ = 35025177600. Its totient is φ = 3383654400.

The previous prime is 11223101101. The next prime is 11223101129. The reversal of 11223101120 is 2110132211.

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 = 11223101095 and 11223101104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11223101129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5345831 + ... + 5347929.

It is an arithmetic number, because the mean of its divisors is an integer number (104241600).

Almost surely, 211223101120 is an apocalyptic number.

11223101120 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 11223101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17512588800).

11223101120 is an abundant number, since it is smaller than the sum of its proper divisors (23802076480).

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

11223101120 is a wasteful number, since it uses less digits than its factorization.

11223101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11223101120 its reverse (2110132211), we get a palindrome (13333233331).

The spelling of 11223101120 in words is "eleven billion, two hundred twenty-three million, one hundred one thousand, one hundred twenty".