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11120853120 = 2735134110867
BaseRepresentation
bin10100101101101101…
…01100000010000000
31001201000211212112220
422112312230002000
5140233414244440
65035302251040
7542404456206
oct122666540200
931630755486
1011120853120
114797482603
1221a4426a80
131082c8c980
14776d6d076
154514b28d0
hex296dac080

11120853120 has 256 divisors, whose sum is σ = 39109150080. Its totient is φ = 2670428160.

The previous prime is 11120853071. The next prime is 11120853137. The reversal of 11120853120 is 2135802111.

It is a super-2 number, since 2×111208531202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017927 + ... + 1028793.

Almost surely, 211120853120 is an apocalyptic number.

11120853120 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 11120853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19554575040).

11120853120 is an abundant number, since it is smaller than the sum of its proper divisors (27988296960).

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

11120853120 is a wasteful number, since it uses less digits than its factorization.

11120853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10943 (or 10931 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The spelling of 11120853120 in words is "eleven billion, one hundred twenty million, eight hundred fifty-three thousand, one hundred twenty".