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110130984 = 233210914033
BaseRepresentation
bin1101001000001…
…11011100101000
321200020020022100
412210013130220
5211143142414
614532253400
72505045405
oct644073450
9250206270
10110130984
1157191047
1230a71260
1319a7cb82
14108ab2ac
159a06609
hex6907728

110130984 has 48 divisors (see below), whose sum is σ = 301029300. Its totient is φ = 36370944.

The previous prime is 110130959. The next prime is 110130991. The reversal of 110130984 is 489031011.

It can be written as a sum of positive squares in 2 ways, for example, as 108618084 + 1512900 = 10422^2 + 1230^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 832 + ... + 14864.

Almost surely, 2110130984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110130984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150514650).

110130984 is an abundant number, since it is smaller than the sum of its proper divisors (190898316).

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

110130984 is a wasteful number, since it uses less digits than its factorization.

110130984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14154 (or 14147 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 110130984 is about 10494.3310410907. The cubic root of 110130984 is about 479.3320918868.

Adding to 110130984 its sum of digits (27), we get a palindrome (110131011).

Adding to 110130984 its reverse (489031011), we get a palindrome (599161995).

The spelling of 110130984 in words is "one hundred ten million, one hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2616 3924 7848 14033 28066 42099 56132 84198 112264 126297 168396 252594 336792 505188 1010376 1529597 3059194 4588791 6118388 9177582 12236776 13766373 18355164 27532746 36710328 55065492 110130984