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31059385410 = 235291071093061
BaseRepresentation
bin11100111011010010…
…001001110001000010
32222011120201020221210
4130323102021301002
51002102200313120
622133554230550
72146452264024
oct347322116102
988146636853
1031059385410
1112199238a69
126029885456
132c0c9c5581
141709014014
15c1bb3ace0
hex73b489c42

31059385410 has 128 divisors (see below), whose sum is σ = 78573369600. Its totient is φ = 7846917120.

The previous prime is 31059385397. The next prime is 31059385417. The reversal of 31059385410 is 1458395013.

It is not an unprimeable number, because it can be changed into a prime (31059385417) 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, 10145280 + ... + 10148340.

It is an arithmetic number, because the mean of its divisors is an integer number (613854450).

Almost surely, 231059385410 is an apocalyptic number.

31059385410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31059385410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39286684800).

31059385410 is an abundant number, since it is smaller than the sum of its proper divisors (47513984190).

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

31059385410 is a wasteful number, since it uses less digits than its factorization.

31059385410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316.

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 31059385410 in words is "thirty-one billion, fifty-nine million, three hundred eighty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 107 109 145 174 214 218 290 321 327 435 535 545 642 654 870 1070 1090 1605 1635 3061 3103 3161 3210 3270 6122 6206 6322 9183 9309 9483 11663 15305 15515 15805 18366 18618 18966 23326 30610 31030 31610 34989 45915 46545 47415 58315 69978 88769 91830 93090 94830 116630 174945 177538 266307 327527 333649 338227 349890 443845 532614 655054 667298 676454 887690 982581 1000947 1014681 1331535 1637635 1668245 1691135 1965162 2001894 2029362 2663070 3275270 3336490 3382270 4912905 5004735 5073405 9498283 9675821 9825810 10009470 10146810 18996566 19351642 28494849 29027463 35700443 47491415 48379105 56989698 58054926 71400886 94982830 96758210 107101329 142474245 145137315 178502215 214202658 284948490 290274630 357004430 535506645 1035312847 1071013290 2070625694 3105938541 5176564235 6211877082 10353128470 15529692705 31059385410