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1121330112 = 2637317027
BaseRepresentation
bin100001011010110…
…0010001111000000
32220010222110201220
41002311202033000
54244030030422
6303133555040
736534102000
oct10265421700
92803873656
101121330112
11525a63a01
12273645a80
1314b40b656
14a8cd2000
156869ae5c
hex42d623c0

1121330112 has 112 divisors (see below), whose sum is σ = 3460089600. Its totient is φ = 320361216.

The previous prime is 1121330101. The next prime is 1121330113. The reversal of 1121330112 is 2110331211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1121330091 and 1121330100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121330113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57343 + ... + 74369.

Almost surely, 21121330112 is an apocalyptic number.

1121330112 is a gapful number since it is divisible by the number (12) 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 1121330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730044800).

1121330112 is an abundant number, since it is smaller than the sum of its proper divisors (2338759488).

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

1121330112 is an equidigital number, since it uses as much as digits as its factorization.

1121330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17063 (or 17039 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1121330112 is about 33486.2675137137. The cubic root of 1121330112 is about 1038.9097648003.

Adding to 1121330112 its reverse (2110331211), we get a palindrome (3231661323).

The spelling of 1121330112 in words is "one billion, one hundred twenty-one million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 8232 9408 10976 16464 17027 21952 32928 34054 51081 65856 68108 102162 119189 136216 204324 238378 272432 357567 408648 476756 544864 715134 817296 834323 953512 1089728 1430268 1634592 1668646 1907024 2502969 2860536 3269184 3337292 3814048 5005938 5721072 5840261 6674584 7628096 10011876 11442144 11680522 13349168 17520783 20023752 22884288 23361044 26698336 35041566 40047504 46722088 53396672 70083132 80095008 93444176 140166264 160190016 186888352 280332528 373776704 560665056 1121330112