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110030112 = 2532834603
BaseRepresentation
bin1101000111011…
…10110100100000
321200001002221100
412203232310200
5211131430422
614530154400
72504145333
oct643566440
9250032840
10110030112
1157122285
1230a22a00
1319a45c9a
141088261a
1599d67ac
hex68eed20

110030112 has 72 divisors (see below), whose sum is σ = 316736784. Its totient is φ = 36226944.

The previous prime is 110030087. The next prime is 110030113. The reversal of 110030112 is 211030011.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110030094 and 110030103.

It is not an unprimeable number, because it can be changed into a prime (110030113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21603 + ... + 26205.

It is an arithmetic number, because the mean of its divisors is an integer number (4399122).

Almost surely, 2110030112 is an apocalyptic number.

110030112 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 110030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158368392).

110030112 is an abundant number, since it is smaller than the sum of its proper divisors (206706672).

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

110030112 is a wasteful number, since it uses less digits than its factorization.

110030112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 110030112 is about 10489.5239167467. The cubic root of 110030112 is about 479.1857026976.

Adding to 110030112 its reverse (211030011), we get a palindrome (321060123).

The spelling of 110030112 in words is "one hundred ten million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 4603 5976 7968 9206 11952 13809 18412 23904 27618 36824 41427 55236 73648 82854 110472 147296 165708 220944 331416 382049 441888 662832 764098 1146147 1325664 1528196 2292294 3056392 3438441 4584588 6112784 6876882 9169176 12225568 13753764 18338352 27507528 36676704 55015056 110030112