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110300112 = 24321358921
BaseRepresentation
bin1101001001100…
…00101111010000
321200112211022100
412210300233100
5211214100422
614540040400
72506351446
oct644605720
9250484270
10110300112
115729711a
1230b33100
1319b0bb50
1410912b96
159a3b7ac
hex6930bd0

110300112 has 60 divisors (see below), whose sum is σ = 332437924. Its totient is φ = 33937920.

The previous prime is 110300107. The next prime is 110300147. The reversal of 110300112 is 211003011.

It can be written as a sum of positive squares in 2 ways, for example, as 22240656 + 88059456 = 4716^2 + 9384^2 .

It is a super-2 number, since 2×1103001122 = 24332229414425088, which contains 22 as substring.

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 = 110300094 and 110300103.

It is a congruent number.

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, 27589 + ... + 31332.

Almost surely, 2110300112 is an apocalyptic number.

110300112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110300112 is an abundant number, since it is smaller than the sum of its proper divisors (222137812).

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

110300112 is a wasteful number, since it uses less digits than its factorization.

110300112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58948 (or 58939 counting only the distinct ones).

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

The square root of 110300112 is about 10502.3860146159. The cubic root of 110300112 is about 479.5773362663.

Adding to 110300112 its reverse (211003011), we get a palindrome (321303123).

The spelling of 110300112 in words is "one hundred ten million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 58921 117842 176763 235684 353526 471368 530289 707052 765973 942736 1060578 1414104 1531946 2121156 2297919 2828208 3063892 4242312 4595838 6127784 6893757 8484624 9191676 12255568 13787514 18383352 27575028 36766704 55150056 110300112