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71313231318 = 23729478913997
BaseRepresentation
bin100001001101010011…
…0011000110111010110
320211001221102111120120
41002122212120313112
52132022141400233
652432202012410
75103131315250
oct1023246306726
9224057374516
1071313231318
112827550720a
12119a27a7106
136956535bc4
1436471bccd0
151cc5a664b3
hex109a998dd6

71313231318 has 128 divisors (see below), whose sum is σ = 174157516800. Its totient is φ = 19036351488.

The previous prime is 71313231317. The next prime is 71313231323. The reversal of 71313231318 is 81313231317.

It is a super-2 number, since 2×713132313182 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71313231313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5087896 + ... + 5101892.

It is an arithmetic number, because the mean of its divisors is an integer number (1360605600).

Almost surely, 271313231318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71313231318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87078758400).

71313231318 is an abundant number, since it is smaller than the sum of its proper divisors (102844285482).

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

71313231318 is a wasteful number, since it uses less digits than its factorization.

71313231318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14174.

The product of its digits is 9072, while the sum is 33.

Subtracting 71313231318 from its reverse (81313231317), we obtain a palindrome (9999999999).

The spelling of 71313231318 in words is "seventy-one billion, three hundred thirteen million, two hundred thirty-one thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 14 21 29 42 47 58 87 89 94 141 174 178 203 267 282 329 406 534 609 623 658 987 1218 1246 1363 1869 1974 2581 2726 3738 4089 4183 5162 7743 8178 8366 9541 12549 13997 15486 18067 19082 25098 27994 28623 29281 36134 41991 54201 57246 58562 83982 87843 97979 108402 121307 175686 195958 242614 293937 363921 405913 587874 657859 727842 811826 849149 1217739 1245733 1315718 1698298 1973577 2435478 2491466 2547447 2841391 3737199 3947154 4605013 5094894 5682782 7474398 8524173 8720131 9210026 13815039 17048346 17440262 19077911 26160393 27630078 36126257 38155822 52320786 57233733 58549451 72252514 108378771 114467466 117098902 133545377 175648353 216757542 252883799 267090754 351296706 400636131 409846157 505767598 758651397 801272262 819692314 1229538471 1517302794 1697934079 2459076942 3395868158 5093802237 10187604474 11885538553 23771077106 35656615659 71313231318