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130013530614 = 2321117100938281
BaseRepresentation
bin111100100010101101…
…0010000100111110110
3110102120212101200010200
41321011122100213312
54112231430434424
6135421041101330
712251566530132
oct1710532204766
9412525350120
10130013530614
1150158280960
1221245327846
13c34c931406
1464151cc3c2
1535ae1378c9
hex1e456909f6

130013530614 has 96 divisors (see below), whose sum is σ = 325712443680. Its totient is φ = 37042790400.

The previous prime is 130013530573. The next prime is 130013530667. The reversal of 130013530614 is 416035310031.

130013530614 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 13 + 5 + 30 + 614 = 666.

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 47 ways as a sum of consecutive naturals, for example, 3377154 + ... + 3415434.

It is an arithmetic number, because the mean of its divisors is an integer number (3392837955).

Almost surely, 2130013530614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130013530614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162856221840).

130013530614 is an abundant number, since it is smaller than the sum of its proper divisors (195698913066).

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

130013530614 is a wasteful number, since it uses less digits than its factorization.

130013530614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39326 (or 39323 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 130013530614 its reverse (416035310031), we get a palindrome (546048840645).

The spelling of 130013530614 in words is "one hundred thirty billion, thirteen million, five hundred thirty thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1009 1122 1683 2018 3027 3366 6054 9081 11099 17153 18162 22198 33297 34306 38281 51459 66594 76562 99891 102918 114843 154377 188683 199782 229686 308754 344529 377366 421091 566049 650777 689058 842182 1132098 1263273 1301554 1698147 1952331 2526546 3396294 3789819 3904662 5856993 7158547 7579638 11713986 14317094 21475641 38625529 42951282 64426923 77251058 115876587 128853846 231753174 347629761 424880819 656633993 695259522 849761638 1274642457 1313267986 1969901979 2549284914 3823927371 3939803958 5909705937 7222973923 7647854742 11819411874 14445947846 21668921769 43337843538 65006765307 130013530614