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1121110120 = 235134914391
BaseRepresentation
bin100001011010010…
…1100100001101000
32220010120021222001
41002310230201220
54244001010440
6303125140344
736532164424
oct10264544150
92803507861
101121110120
11525923699
1227355a6b4
1314b362490
14a8c75b84
1568655b9a
hex42d2c868

1121110120 has 64 divisors (see below), whose sum is σ = 2722688640. Its totient is φ = 413011200.

The previous prime is 1121110117. The next prime is 1121110171. The reversal of 1121110120 is 210111211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1121110097 and 1121110106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253125 + ... + 257515.

It is an arithmetic number, because the mean of its divisors is an integer number (42542010).

Almost surely, 21121110120 is an apocalyptic number.

1121110120 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 1121110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361344320).

1121110120 is an abundant number, since it is smaller than the sum of its proper divisors (1601578520).

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

1121110120 is a wasteful number, since it uses less digits than its factorization.

1121110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1121110120 is about 33482.9825433757. The cubic root of 1121110120 is about 1038.8418196631.

Adding to 1121110120 its reverse (210111211), we get a palindrome (1331221331).

The spelling of 1121110120 in words is "one billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 491 520 982 1964 2455 3928 4391 4910 6383 8782 9820 12766 17564 19640 21955 25532 31915 35128 43910 51064 57083 63830 87820 114166 127660 175640 228332 255320 285415 456664 570830 1141660 2155981 2283320 4311962 8623924 10779905 17247848 21559810 28027753 43119620 56055506 86239240 112111012 140138765 224222024 280277530 560555060 1121110120