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130013103441 = 31371733172029
BaseRepresentation
bin111100100010101100…
…0101000010101010001
3110102120211120222011110
41321011120220111101
54112231323302231
6135421024003533
712251563100544
oct1710530502521
9412524528143
10130013103441
1150158009a21
12212451605a9
13c34c811b50
14641511a85b
1535ae0a1046
hex1e45628551

130013103441 has 64 divisors (see below), whose sum is σ = 192608478720. Its totient is φ = 77516974080.

The previous prime is 130013103433. The next prime is 130013103469. The reversal of 130013103441 is 144301310031.

It is not a de Polignac number, because 130013103441 - 23 = 130013103433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130013103491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64076415 + ... + 64078443.

It is an arithmetic number, because the mean of its divisors is an integer number (3009507480).

Almost surely, 2130013103441 is an apocalyptic number.

It is an amenable number.

130013103441 is a deficient number, since it is larger than the sum of its proper divisors (62595375279).

130013103441 is a wasteful number, since it uses less digits than its factorization.

130013103441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 130013103441 its reverse (144301310031), we get a palindrome (274314413472).

The spelling of 130013103441 in words is "one hundred thirty billion, thirteen million, one hundred three thousand, four hundred forty-one".

Divisors: 1 3 13 39 71 73 213 219 317 923 949 951 2029 2769 2847 4121 5183 6087 12363 15549 22507 23141 26377 67379 67521 69423 79131 144059 148117 202137 292591 300833 432177 444351 643193 877773 902499 1643011 1872767 1925521 1929579 4929033 5618301 5776563 8361509 10516307 21359143 25084527 31548921 45666703 46953089 64077429 136711991 137000109 140859267 410135973 593667139 610390157 1781001417 1831170471 3333669319 10001007957 43337701147 130013103441