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71012171700 = 223252143355061
BaseRepresentation
bin100001000100010100…
…1111011111110110100
320210021221221002102100
41002020221323332310
52130413103443300
652342245142100
75062514333361
oct1021051737664
9223257832370
1071012171700
1128130579708
12119199ba930
136909056a12
143619211468
151ca93e8700
hex1088a7bfb4

71012171700 has 108 divisors (see below), whose sum is σ = 222743079468. Its totient is φ = 18923020800.

The previous prime is 71012171689. The next prime is 71012171717. The reversal of 71012171700 is 717121017.

It can be written as a sum of positive squares in 6 ways, for example, as 24029604 + 70988142096 = 4902^2 + 266436^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1262170 + ... + 1317230.

It is an arithmetic number, because the mean of its divisors is an integer number (2062435921).

Almost surely, 271012171700 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 71012171700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111371539734).

71012171700 is an abundant number, since it is smaller than the sum of its proper divisors (151730907768).

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

71012171700 is a wasteful number, since it uses less digits than its factorization.

71012171700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56514 (or 56504 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 27.

Adding to 71012171700 its reverse (717121017), we get a palindrome (71729292717).

The spelling of 71012171700 in words is "seventy-one billion, twelve million, one hundred seventy-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1433 2866 4299 5732 7165 8598 12897 14330 17196 21495 25794 28660 35825 42990 51588 55061 64485 71650 85980 107475 110122 128970 143300 165183 214950 220244 257940 275305 322425 330366 429900 495549 550610 644850 660732 825915 991098 1101220 1289700 1376525 1651830 1982196 2477745 2753050 3303660 4129575 4955490 5506100 8259150 9910980 12388725 16518300 24777450 49554900 78902413 157804826 236707239 315609652 394512065 473414478 710121717 789024130 946828956 1183536195 1420243434 1578048260 1972560325 2367072390 2840486868 3550608585 3945120650 4734144780 5917680975 7101217170 7890241300 11835361950 14202434340 17753042925 23670723900 35506085850 71012171700