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130063011441 = 311229107115469
BaseRepresentation
bin111100100100001011…
…1000000111001110001
3110102201022111120001220
41321020113000321301
54112332112331231
6135430005415253
712253040233116
oct1711027007161
9412638446056
10130063011441
11501831a7600
1221259a0a529
13c359c673cc
14641b9cc90d
1535b365d896
hex1e485c0e71

130063011441 has 48 divisors (see below), whose sum is σ = 199033329600. Its totient is φ = 75395985280.

The previous prime is 130063011431. The next prime is 130063011451. The reversal of 130063011441 is 144110360031.

It is an interprime number because it is at equal distance from previous prime (130063011431) and next prime (130063011451).

It is not a de Polignac number, because 130063011441 - 210 = 130063010417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130063011431) 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 47 ways as a sum of consecutive naturals, for example, 1068655 + ... + 1184123.

It is an arithmetic number, because the mean of its divisors is an integer number (4146527700).

Almost surely, 2130063011441 is an apocalyptic number.

130063011441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130063011441 is a deficient number, since it is larger than the sum of its proper divisors (68970318159).

130063011441 is a wasteful number, since it uses less digits than its factorization.

130063011441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115630 (or 115619 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 130063011441 its reverse (144110360031), we get a palindrome (274173371472).

The spelling of 130063011441 in words is "one hundred thirty billion, sixty-three million, eleven thousand, four hundred forty-one".

Divisors: 1 3 11 29 33 87 107 121 319 321 363 957 1177 3103 3509 3531 9309 10527 12947 34133 38841 102399 115469 346407 375463 1126389 1270159 3348601 3810477 10045803 12355183 13971749 36834611 37065549 41915247 110503833 135907013 358300307 405180721 407721039 1074900921 1215542163 1494977143 3941303377 4484931429 11823910131 43354337147 130063011441