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2065032112 = 2411138910141
BaseRepresentation
bin111101100010101…
…1110001110110000
312022220201111111211
41323011132032300
513212122011422
6540524445504
7102113324533
oct17305361660
95286644454
102065032112
1196a725210
124976a9894
1326ba968c0
14158386a1a
15c145b577
hex7b15e3b0

2065032112 has 80 divisors (see below), whose sum is σ = 4753758240. Its totient is φ = 856627200.

The previous prime is 2065032071. The next prime is 2065032131. The reversal of 2065032112 is 2112305602.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198562 + ... + 208702.

It is an arithmetic number, because the mean of its divisors is an integer number (59421978).

Almost surely, 22065032112 is an apocalyptic number.

2065032112 is a gapful number since it is divisible by the number (22) 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 2065032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376879120).

2065032112 is an abundant number, since it is smaller than the sum of its proper divisors (2688726128).

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

2065032112 is a wasteful number, since it uses less digits than its factorization.

2065032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10262 (or 10256 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2065032112 is about 45442.6243960447. The cubic root of 2065032112 is about 1273.4315429735.

Adding to 2065032112 its reverse (2112305602), we get a palindrome (4177337714).

The spelling of 2065032112 in words is "two billion, sixty-five million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 89 104 143 176 178 208 286 356 572 712 979 1144 1157 1424 1958 2288 2314 3916 4628 7832 9256 10141 12727 15664 18512 20282 25454 40564 50908 81128 101816 111551 131833 162256 203632 223102 263666 446204 527332 892408 902549 1054664 1450163 1784816 1805098 2109328 2900326 3610196 5800652 7220392 9928039 11601304 11733137 14440784 19856078 23202608 23466274 39712156 46932548 79424312 93865096 129064507 158848624 187730192 258129014 516258028 1032516056 2065032112