Search a number
-
+
30131140201134 = 23771229277715889
BaseRepresentation
bin1101101100111011100111…
…11010001000101010101110
310221200111201222010020000120
412312131303322020222232
512422132033342414014
6144030015452505410
76226621512613140
oct666356372105256
9127614658106016
1030131140201134
1196675aa143175
123467749a7b266
1313a747b5cb9bb
147624d805ac90
15373ba7cb4ba9
hex1b6773e88aae

30131140201134 has 128 divisors (see below), whose sum is σ = 70175853619200. Its totient is φ = 8447006453760.

The previous prime is 30131140201087. The next prime is 30131140201157. The reversal of 30131140201134 is 43110204113103.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1896344262 + ... + 1896360150.

It is an arithmetic number, because the mean of its divisors is an integer number (548248856400).

Almost surely, 230131140201134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30131140201134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35087926809600).

30131140201134 is an abundant number, since it is smaller than the sum of its proper divisors (40044713418066).

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

30131140201134 is a wasteful number, since it uses less digits than its factorization.

30131140201134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18978.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 30131140201134 its reverse (43110204113103), we get a palindrome (73241344314237).

The spelling of 30131140201134 in words is "thirty trillion, one hundred thirty-one billion, one hundred forty million, two hundred one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 71 142 213 229 426 458 497 687 994 1374 1491 1603 2777 2982 3206 4809 5554 8331 9618 15889 16259 16662 19439 31778 32518 38878 47667 48777 58317 95334 97554 111223 113813 116634 197167 222446 227626 333669 341439 394334 591501 635933 667338 682878 1128119 1183002 1271866 1380169 1907799 2256238 2760338 3384357 3638581 3815598 4140507 4451531 6768714 7277162 7896833 8281014 8903062 10915743 13354593 15793666 21831486 23690499 25470067 26709186 44123753 45151243 47380998 50940134 76410201 88247506 90302486 132371259 135453729 152820402 258339251 264742518 270907458 308866271 316058701 516678502 617732542 632117402 775017753 926598813 948176103 1550035506 1808374757 1853197626 1896352206 3132786463 3616749514 5425124271 6265572926 9398359389 10104339437 10850248542 18796718778 20208678874 21929505241 30313018311 43859010482 60626036622 65788515723 70730376059 131577031446 141460752118 212191128177 424382256354 717408100027 1434816200054 2152224300081 4304448600162 5021856700189 10043713400378 15065570100567 30131140201134