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1133113112118 = 232134842363727
BaseRepresentation
bin10000011111010010110…
…011011111011000110110
311000022202121020011002200
4100133102303133120312
5122031103424041433
62224313414245330
7144602412352011
oct20372263373066
94008677204080
101133113112118
113a76068a2259
12163731356846
1382b10109640
143cbb3160378
151e71ca63613
hex107d2cdf636

1133113112118 has 24 divisors (see below), whose sum is σ = 2643930595488. Its totient is φ = 348650188272.

The previous prime is 1133113112111. The next prime is 1133113112147. The reversal of 1133113112118 is 8112113113311.

It is a happy number.

1133113112118 is a `hidden beast` number, since 1 + 1 + 3 + 311 + 311 + 21 + 18 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1133113112091 and 1133113112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133113112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2421181630 + ... + 2421182097.

It is an arithmetic number, because the mean of its divisors is an integer number (110163774812).

Almost surely, 21133113112118 is an apocalyptic number.

1133113112118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1133113112118 is an abundant number, since it is smaller than the sum of its proper divisors (1510817483370).

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

1133113112118 is a wasteful number, since it uses less digits than its factorization.

1133113112118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842363748 (or 4842363745 counting only the distinct ones).

The product of its digits is 432, while the sum is 27.

Adding to 1133113112118 its reverse (8112113113311), we get a palindrome (9245226225429).

The spelling of 1133113112118 in words is "one trillion, one hundred thirty-three billion, one hundred thirteen million, one hundred twelve thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 4842363727 9684727454 14527091181 29054182362 43581273543 62950728451 87162547086 125901456902 188852185353 377704370706 566556556059 1133113112118