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130057212828 = 223175332593691
BaseRepresentation
bin111100100100000000…
…0111001001110011100
3110102200220120221212110
41321020000321032130
54112324121302303
6135425241234020
712252640032414
oct1711000711634
9412626527773
10130057212828
115017a9a6a64
1221257a92910
13c3589b6c8a
14641ad1d644
1535b2db5703
hex1e4803939c

130057212828 has 96 divisors (see below), whose sum is σ = 327569598720. Its totient is φ = 40009282560.

The previous prime is 130057212799. The next prime is 130057212829. The reversal of 130057212828 is 828212750031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130057212829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35234463 + ... + 35238153.

It is an arithmetic number, because the mean of its divisors is an integer number (3412183320).

Almost surely, 2130057212828 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 130057212828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163784799360).

130057212828 is an abundant number, since it is smaller than the sum of its proper divisors (197512385892).

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

130057212828 is a wasteful number, since it uses less digits than its factorization.

130057212828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7027 (or 7025 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

Adding to 130057212828 its reverse (828212750031), we get a palindrome (958269962859).

The spelling of 130057212828 in words is "one hundred thirty billion, fifty-seven million, two hundred twelve thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 318 636 901 1802 2703 3259 3604 3691 5406 6518 7382 9777 10812 11073 13036 14764 19554 22146 39108 44292 55403 62747 110806 125494 166209 172727 188241 195623 221612 250988 332418 345454 376482 391246 518181 586869 664836 690908 752964 782492 1036362 1173738 2072724 2347476 2936359 3325591 5872718 6651182 8809077 9976773 11745436 12028969 13302364 17618154 19953546 24057938 35236308 36086907 39907092 48115876 72173814 144347628 204492473 408984946 613477419 637535357 817969892 1226954838 1275070714 1912606071 2453909676 2550141428 3825212142 7650424284 10838101069 21676202138 32514303207 43352404276 65028606414 130057212828