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11123113120 = 25579931351
BaseRepresentation
bin10100101101111110…
…10011110010100000
31001201012002200200121
422112333103302200
5140240004104440
65035422530024
7542432621140
oct122677236240
931635080617
1011123113120
114798786579
1221a5136914
1310835a1552
1477739a920
154517ac34a
hex296fd3ca0

11123113120 has 48 divisors (see below), whose sum is σ = 30032408448. Its totient is φ = 3813638400.

The previous prime is 11123113109. The next prime is 11123113153. The reversal of 11123113120 is 2131132111.

It is a happy number.

It is a super-2 number, since 2×111231131202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11123113094 and 11123113103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4964556 + ... + 4966795.

It is an arithmetic number, because the mean of its divisors is an integer number (625675176).

Almost surely, 211123113120 is an apocalyptic number.

11123113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11123113120 is an abundant number, since it is smaller than the sum of its proper divisors (18909295328).

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

11123113120 is an equidigital number, since it uses as much as digits as its factorization.

11123113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9931373 (or 9931365 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11123113120 its reverse (2131132111), we get a palindrome (13254245231).

The spelling of 11123113120 in words is "eleven billion, one hundred twenty-three million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 9931351 19862702 39725404 49656755 69519457 79450808 99313510 139038914 158901616 198627020 278077828 317803232 347597285 397254040 556155656 695194570 794508080 1112311312 1390389140 1589016160 2224622624 2780778280 5561556560 11123113120