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130301313321003 = 31129261671148773
BaseRepresentation
bin11101101000001000100011…
…011111101000100000101011
3122002100200110120011221020120
4131220020203133220200223
5114034324042202233003
61141043332540054323
736305650004525256
oct3550104337504053
9562320416157216
10130301313321003
113857752746aa90
12127453262343a3
1357924905040c6
14242688d8cc09d
15100e6821c9853
hex7682237e882b

130301313321003 has 96 divisors (see below), whose sum is σ = 202485809340672. Its totient is φ = 73877986828800.

The previous prime is 130301313321001. The next prime is 130301313321007. The reversal of 130301313321003 is 300123313103031.

It is not a de Polignac number, because 130301313321003 - 21 = 130301313321001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130301313321001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112852125 + ... + 114000897.

It is an arithmetic number, because the mean of its divisors is an integer number (2109227180632).

Almost surely, 2130301313321003 is an apocalyptic number.

130301313321003 is a deficient number, since it is larger than the sum of its proper divisors (72184496019669).

130301313321003 is a wasteful number, since it uses less digits than its factorization.

130301313321003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148973 (or 1148944 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 130301313321003 its reverse (300123313103031), we get a palindrome (430424626424034).

The spelling of 130301313321003 in words is "one hundred thirty trillion, three hundred one billion, three hundred thirteen million, three hundred twenty-one thousand, three".

Divisors: 1 3 11 29 33 61 67 87 183 201 319 671 737 841 957 1769 1943 2013 2211 2523 4087 5307 5829 9251 12261 19459 21373 27753 44957 51301 56347 58377 64119 118523 134871 153903 169041 355569 564311 619817 1148773 1303753 1692933 1859451 3437167 3446319 3911259 10311501 12636503 33314417 37808837 37909509 70075153 76967791 99943251 113426511 210225459 230903373 366458587 770826683 846645701 966118093 1099375761 2032179437 2232065939 2312480049 2539937103 2898354279 4695035251 6096538311 6696197817 10627299023 14085105753 22353973807 24552725329 31881897069 51645387761 58933203673 64729912231 67061921421 73658175987 136156022279 154936163283 176799611019 194189736693 408468066837 648265240403 712029034541 1497716245069 1944795721209 2136087103623 3948524646091 4493148735207 11845573938273 43433771107001 130301313321003