Search a number
-
+
130142111352 = 2331119145917783
BaseRepresentation
bin111100100110100010…
…0110000011001111000
3110102220211100020202020
41321031010300121320
54113012340030402
6135441513034440
712255020460111
oct1711504603170
9412824306666
10130142111352
1150213913530
12212803b5a20
13c370470ba6
1464282dd208
1535ba5858bc
hex1e4d130678

130142111352 has 128 divisors (see below), whose sum is σ = 373890816000. Its totient is φ = 37333664640.

The previous prime is 130142111339. The next prime is 130142111353. The reversal of 130142111352 is 253111241031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130142111353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7309453 + ... + 7327235.

It is an arithmetic number, because the mean of its divisors is an integer number (2921022000).

Almost surely, 2130142111352 is an apocalyptic number.

130142111352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130142111352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186945408000).

130142111352 is an abundant number, since it is smaller than the sum of its proper divisors (243748704648).

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

130142111352 is a wasteful number, since it uses less digits than its factorization.

130142111352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19281 (or 19277 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 130142111352 its reverse (253111241031), we get a palindrome (383253352383).

The spelling of 130142111352 in words is "one hundred thirty billion, one hundred forty-two million, one hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1459 1672 2508 2918 4377 5016 5836 8754 11672 16049 17508 17783 27721 32098 35016 35566 48147 53349 55442 64196 71132 83163 96294 106698 110884 128392 142264 166326 192588 195613 213396 221768 304931 332652 337877 385176 391226 426792 586839 609862 665304 675754 782452 914793 1013631 1173678 1219724 1351508 1564904 1829586 2027262 2347356 2439448 2703016 3659172 3716647 4054524 4694712 7318344 7433294 8109048 11149941 14866588 22299882 25945397 29733176 44599764 51890794 77836191 89199528 103781588 155672382 207563176 285399367 311344764 492962543 570798734 622689528 856198101 985925086 1141597468 1478887629 1712396202 1971850172 2283194936 2957775258 3424792404 3943700344 5422587973 5915550516 6849584808 10845175946 11831101032 16267763919 21690351892 32535527838 43380703784 65071055676 130142111352