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112116330 = 23253533529
BaseRepresentation
bin1101010111011…
…00001001101010
321210222002200200
412223230021222
5212200210310
615043013030
72530654524
oct653541152
9253862620
10112116330
1158317727
123166a176
131a2c6731
1410c66a14
159c999c0
hex6aec26a

112116330 has 48 divisors (see below), whose sum is σ = 292411080. Its totient is φ = 29804544.

The previous prime is 112116311. The next prime is 112116331. The reversal of 112116330 is 33611211.

112116330 is a `hidden beast` number, since 11 + 21 + 1 + 633 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60233121 + 51883209 = 7761^2 + 7203^2 .

It is a super-3 number, since 3×1121163303 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112116331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30006 + ... + 33534.

Almost surely, 2112116330 is an apocalyptic number.

112116330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112116330 is an abundant number, since it is smaller than the sum of its proper divisors (180294750).

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

112116330 is a wasteful number, since it uses less digits than its factorization.

112116330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3895 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 112116330 is about 10588.4998937527. The cubic root of 112116330 is about 482.1952830941.

112116330 divided by its sum of digits (18) gives a triangular number (6228685 = T3529).

Adding to 112116330 its reverse (33611211), we get a palindrome (145727541).

The spelling of 112116330 in words is "one hundred twelve million, one hundred sixteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 353 706 1059 1765 2118 3177 3529 3530 5295 6354 7058 10587 10590 15885 17645 21174 31761 31770 35290 52935 63522 105870 158805 317610 1245737 2491474 3737211 6228685 7474422 11211633 12457370 18686055 22423266 37372110 56058165 112116330