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71103312 = 2433723359
BaseRepresentation
bin1000011110011…
…11001101010000
311221210102102000
410033033031100
5121200301222
611015554000
71522240200
oct417171520
9157712360
1071103312
1137154a75
121b98b900
1311966a87
14962c400
1563979ac
hex43cf350

71103312 has 120 divisors (see below), whose sum is σ = 237484800. Its totient is φ = 20309184.

The previous prime is 71103311. The next prime is 71103313. The reversal of 71103312 is 21330117.

It is an interprime number because it is at equal distance from previous prime (71103311) and next prime (71103313).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71103311) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19489 + ... + 22847.

It is an arithmetic number, because the mean of its divisors is an integer number (1979040).

Almost surely, 271103312 is an apocalyptic number.

71103312 is a gapful number since it is divisible by the number (72) 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 71103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118742400).

71103312 is an abundant number, since it is smaller than the sum of its proper divisors (166381488).

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

71103312 is a wasteful number, since it uses less digits than its factorization.

71103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 71103312 is about 8432.2779840325. The cubic root of 71103312 is about 414.2825208745.

Adding to 71103312 its reverse (21330117), we get a palindrome (92433429).

The spelling of 71103312 in words is "seventy-one million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3359 3528 5292 6718 7056 10077 10584 13436 20154 21168 23513 26872 30231 40308 47026 53744 60462 70539 80616 90693 94052 120924 141078 161232 164591 181386 188104 211617 241848 282156 329182 362772 376208 423234 483696 493773 564312 634851 658364 725544 846468 987546 1128624 1269702 1316728 1451088 1481319 1692936 1975092 2539404 2633456 2962638 3385872 3950184 4443957 5078808 5925276 7900368 8887914 10157616 11850552 17775828 23701104 35551656 71103312