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110402112 = 2633071873
BaseRepresentation
bin1101001010010…
…01101001000000
321200202000020010
412211021221000
5211230331422
614542144520
72510255022
oct645115100
9250660203
10110402112
1157356817
1230b82140
1319b463c2
141093c012
159a5bb0c
hex6949a40

110402112 has 56 divisors (see below), whose sum is σ = 293213536. Its totient is φ = 36661248.

The previous prime is 110402087. The next prime is 110402119. The reversal of 110402112 is 211204011.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (110402119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58008 + ... + 59880.

It is an arithmetic number, because the mean of its divisors is an integer number (5235956).

Almost surely, 2110402112 is an apocalyptic number.

110402112 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 110402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146606768).

110402112 is an abundant number, since it is smaller than the sum of its proper divisors (182811424).

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

110402112 is a wasteful number, since it uses less digits than its factorization.

110402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 110402112 is about 10507.2409318527. The cubic root of 110402112 is about 479.7251203937.

Adding to 110402112 its reverse (211204011), we get a palindrome (321606123).

The spelling of 110402112 in words is "one hundred ten million, four hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 307 614 921 1228 1842 1873 2456 3684 3746 4912 5619 7368 7492 9824 11238 14736 14984 19648 22476 29472 29968 44952 58944 59936 89904 119872 179808 359616 575011 1150022 1725033 2300044 3450066 4600088 6900132 9200176 13800264 18400352 27600528 36800704 55201056 110402112