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11120000120 = 2352971135017
BaseRepresentation
bin10100101101100110…
…11011110001111000
31001200222020112110022
422112303123301320
5140233210000440
65035232110012
7542364304265
oct122663336170
931628215408
1011120000120
114796a4a749
1221a4095308
131082a51638
14776bca26c
15451394cb5
hex296cdbc78

11120000120 has 64 divisors (see below), whose sum is σ = 26247499200. Its totient is φ = 4234101760.

The previous prime is 11120000113. The next prime is 11120000123. The reversal of 11120000120 is 2100002111.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 11120000098 and 11120000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14852 + ... + 149868.

It is an arithmetic number, because the mean of its divisors is an integer number (410117175).

Almost surely, 211120000120 is an apocalyptic number.

11120000120 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 11120000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13123749600).

11120000120 is an abundant number, since it is smaller than the sum of its proper divisors (15127499080).

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

11120000120 is a wasteful number, since it uses less digits than its factorization.

11120000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135128 (or 135124 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11120000120 its reverse (2100002111), we get a palindrome (13220002231).

The spelling of 11120000120 in words is "eleven billion, one hundred twenty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 29 40 58 71 116 142 145 232 284 290 355 568 580 710 1160 1420 2059 2840 4118 8236 10295 16472 20590 41180 82360 135017 270034 540068 675085 1080136 1350170 2700340 3915493 5400680 7830986 9586207 15661972 19172414 19577465 31323944 38344828 39154930 47931035 76689656 78309860 95862070 156619720 191724140 278000003 383448280 556000006 1112000012 1390000015 2224000024 2780000030 5560000060 11120000120