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112051016 = 237111011801
BaseRepresentation
bin1101010110111…
…00001101001000
321210211210002122
412223130031020
5212141113031
615041350412
72530263230
oct653341510
9253753078
10112051016
1158282650
1231638408
131a2a2a9c
1410c4acc0
159c8547b
hex6adc348

112051016 has 64 divisors (see below), whose sum is σ = 264677760. Its totient is φ = 43200000.

The previous prime is 112051007. The next prime is 112051021. The reversal of 112051016 is 610150211.

It is a junction number, because it is equal to n+sod(n) for n = 112050985 and 112051003.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 61316 + ... + 63116.

It is an arithmetic number, because the mean of its divisors is an integer number (4135590).

Almost surely, 2112051016 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 112051016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132338880).

112051016 is an abundant number, since it is smaller than the sum of its proper divisors (152626744).

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

112051016 is a wasteful number, since it uses less digits than its factorization.

112051016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 112051016 is about 10585.4152492947. The cubic root of 112051016 is about 482.1016297122.

It can be divided in two parts, 11205 and 1016, that added together give a palindrome (12221).

The spelling of 112051016 in words is "one hundred twelve million, fifty-one thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 101 154 202 308 404 616 707 808 1111 1414 1801 2222 2828 3602 4444 5656 7204 7777 8888 12607 14408 15554 19811 25214 31108 39622 50428 62216 79244 100856 138677 158488 181901 277354 363802 554708 727604 1109416 1273307 1455208 2000911 2546614 4001822 5093228 8003644 10186456 14006377 16007288 28012754 56025508 112051016