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112010016 = 2531961409
BaseRepresentation
bin1101010110100…
…10001100100000
321210202200212010
412223102030200
5212133310031
615040432520
72530032546
oct653221440
9253680763
10112010016
1158254868
1231618740
131a28a221
1410c39d96
159c78246
hex6ad2320

112010016 has 48 divisors (see below), whose sum is σ = 309506400. Its totient is φ = 35371008.

The previous prime is 112010011. The next prime is 112010021. The reversal of 112010016 is 610010211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112010011) and next prime (112010021).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112009983 and 112010010.

It is not an unprimeable number, because it can be changed into a prime (112010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28881 + ... + 32528.

It is an arithmetic number, because the mean of its divisors is an integer number (6448050).

Almost surely, 2112010016 is an apocalyptic number.

112010016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112010016 is an abundant number, since it is smaller than the sum of its proper divisors (197496384).

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

112010016 is a wasteful number, since it uses less digits than its factorization.

112010016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61441 (or 61433 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 112010016 is about 10583.4784451994. The cubic root of 112010016 is about 482.0428214454.

Adding to 112010016 its reverse (610010211), we get a palindrome (722020227).

The spelling of 112010016 in words is "one hundred twelve million, ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 61409 122818 184227 245636 368454 491272 736908 982544 1166771 1473816 1965088 2333542 2947632 3500313 4667084 5895264 7000626 9334168 14001252 18668336 28002504 37336672 56005008 112010016