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130114113144 = 23343409308263
BaseRepresentation
bin111100100101101100…
…1111100111001111000
3110102211212122210102120
41321023121330321320
54112433203110034
6135435033001240
712254230466511
oct1711331747170
9412755583376
10130114113144
11501aa030014
1221272b53220
13c36771a0c2
1464246d1a08
1535b7da4c49
hex1e4b67ce78

130114113144 has 64 divisors (see below), whose sum is σ = 333664953600. Its totient is φ = 42259021056.

The previous prime is 130114113127. The next prime is 130114113149. The reversal of 130114113144 is 441311411031.

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 (130114113149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267957 + ... + 576219.

It is an arithmetic number, because the mean of its divisors is an integer number (5213514900).

Almost surely, 2130114113144 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 130114113144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166832476800).

130114113144 is an abundant number, since it is smaller than the sum of its proper divisors (203550840456).

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

130114113144 is a wasteful number, since it uses less digits than its factorization.

130114113144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308724 (or 308720 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 130114113144 its reverse (441311411031), we get a palindrome (571425524175).

The spelling of 130114113144 in words is "one hundred thirty billion, one hundred fourteen million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 409 516 818 1032 1227 1636 2454 3272 4908 9816 17587 35174 52761 70348 105522 140696 211044 308263 422088 616526 924789 1233052 1849578 2466104 3699156 7398312 13255309 26510618 39765927 53021236 79531854 106042472 126079567 159063708 252159134 318127416 378238701 504318268 756477402 1008636536 1512954804 3025909608 5421421381 10842842762 16264264143 21685685524 32528528286 43371371048 65057056572 130114113144