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1121084118 = 2337112127193
BaseRepresentation
bin100001011010010…
…0110001011010110
32220010111222022000
41002310212023112
54243444142433
6303124420130
736532025550
oct10264461326
92803458260
101121084118
11525906100
12273547646
1314b3536ab
14a8c6a4d0
156864d113
hex42d262d6

1121084118 has 192 divisors, whose sum is σ = 3170549760. Its totient is φ = 287400960.

The previous prime is 1121084099. The next prime is 1121084119. The reversal of 1121084118 is 8114801211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1121084091 and 1121084100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121084119) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5808630 + ... + 5808822.

It is an arithmetic number, because the mean of its divisors is an integer number (16513280).

Almost surely, 21121084118 is an apocalyptic number.

1121084118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121084118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585274880).

1121084118 is an abundant number, since it is smaller than the sum of its proper divisors (2049465642).

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

1121084118 is a wasteful number, since it uses less digits than its factorization.

1121084118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The square root of 1121084118 is about 33482.5942543286. The cubic root of 1121084118 is about 1038.8337882861.

Adding to 1121084118 its reverse (8114801211), we get a palindrome (9235885329).

The spelling of 1121084118 in words is "one billion, one hundred twenty-one million, eighty-four thousand, one hundred eighteen".