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130442422230512 = 2473167615191163
BaseRepresentation
bin11101101010001011111110…
…001111011001110111110000
3122002212011200200111020212022
4131222023332033121313300
5114044132040042334022
61141232231013451012
736322103552466020
oct3552137617316760
9562764620436768
10130442422230512
11386213587a4267
1212768747340a68
1357a288aa46172
14242d6384d7a80
151013190441c42
hex76a2fe3d9df0

130442422230512 has 160 divisors (see below), whose sum is σ = 302656685113344. Its totient is φ = 53283824352000.

The previous prime is 130442422230499. The next prime is 130442422230541. The reversal of 130442422230512 is 215032224244031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1430824643 + ... + 1430915805.

Almost surely, 2130442422230512 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 130442422230512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151328342556672).

130442422230512 is an abundant number, since it is smaller than the sum of its proper divisors (172214262882832).

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

130442422230512 is a wasteful number, since it uses less digits than its factorization.

130442422230512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97427 (or 97421 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 130442422230512 its reverse (215032224244031), we get a palindrome (345474646474543).

The spelling of 130442422230512 in words is "one hundred thirty trillion, four hundred forty-two billion, four hundred twenty-two million, two hundred thirty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 67 112 124 134 217 248 268 434 469 496 536 868 938 1072 1736 1876 2077 3472 3752 4154 6151 7504 8308 12302 14539 16616 24604 29078 33232 43057 49208 58156 86114 91163 98416 116312 172228 182326 190681 232624 344456 364652 381362 412117 638141 688912 729304 762724 824234 1276282 1334767 1458608 1525448 1648468 2552564 2669534 2826053 2884819 3050896 3296936 5105128 5339068 5652106 5769638 6107921 6593872 10210256 10678136 11304212 11539276 12215842 12775627 19782371 21356272 22608424 23078552 24431684 25551254 39564742 42755447 45216848 46157104 48863368 51102508 79129484 85510894 89429389 97726736 102205016 158258968 171021788 178858778 189345551 204410032 316517936 342043576 357717556 378691102 560743613 684087152 715435112 757382204 1121487226 1325418857 1430870224 1514764408 2242974452 2650837714 3029528816 3925205291 4485948904 5301675428 7850410582 8971897808 10603350856 15700821164 17383052003 21206701712 31401642328 34766104006 37569822071 62803284656 69532208012 75139644142 121681364021 139064416024 150279288284 243362728042 262988754497 278128832048 300558576568 486725456084 525977508994 601117153136 973450912168 1051955017988 1164664484201 1946901824336 2103910035976 2329328968402 4207820071952 4658657936804 8152651389407 9317315873608 16305302778814 18634631747216 32610605557628 65221211115256 130442422230512