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130381090441 = 7971992234327
BaseRepresentation
bin111100101101101010…
…0011000111010001001
3110110112111000122102121
41321123110120322021
54114010024343231
6135521331131241
712263651661130
oct1713324307211
9413474018377
10130381090441
11503267aa008
1221328443b21
13c3aab25134
14644bd4a917
1535d153e311
hex1e5b518e89

130381090441 has 32 divisors (see below), whose sum is σ = 152013209600. Its totient is φ = 109528505856.

The previous prime is 130381090423. The next prime is 130381090451. The reversal of 130381090441 is 144090183031.

It is not a de Polignac number, because 130381090441 - 25 = 130381090409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130381090397 and 130381090406.

It is not an unprimeable number, because it can be changed into a prime (130381090421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30129820 + ... + 30134146.

It is an arithmetic number, because the mean of its divisors is an integer number (4750412800).

Almost surely, 2130381090441 is an apocalyptic number.

It is an amenable number.

130381090441 is a deficient number, since it is larger than the sum of its proper divisors (21632119159).

130381090441 is a wasteful number, since it uses less digits than its factorization.

130381090441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853.

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 130381090441 in words is "one hundred thirty billion, three hundred eighty-one million, ninety thousand, four hundred forty-one".

Divisors: 1 7 97 199 223 679 1393 1561 4327 19303 21631 30289 44377 135121 151417 310639 419719 861073 964921 2938033 4304569 6027511 6754447 30131983 83524081 93597337 192019279 584668567 655181359 1344134953 18625870063 130381090441