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130815749779 = 113132718191
BaseRepresentation
bin111100111010100111…
…0011110111010010011
3110111122202220121221121
41321311032132322103
54120402312443104
6140032415303111
712310510345411
oct1716516367223
9414582817847
10130815749779
115052a098000
1221429b1aa97
13c449bb0400
14648d9742b1
15360979c254
hex1e7539ee93

130815749779 has 48 divisors (see below), whose sum is σ = 158020927488. Its totient is φ = 108216108000.

The previous prime is 130815749773. The next prime is 130815749789. The reversal of 130815749779 is 977947518031.

It is not a de Polignac number, because 130815749779 - 25 = 130815749747 is a prime.

It is a super-2 number, since 2×1308157497792 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130815749773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15966574 + ... + 15974764.

It is an arithmetic number, because the mean of its divisors is an integer number (3292102656).

Almost surely, 2130815749779 is an apocalyptic number.

130815749779 is a deficient number, since it is larger than the sum of its proper divisors (27205177709).

130815749779 is an equidigital number, since it uses as much as digits as its factorization.

130815749779 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8321 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 61.

The spelling of 130815749779 in words is "one hundred thirty billion, eight hundred fifteen million, seven hundred forty-nine thousand, seven hundred seventy-nine".

Divisors: 1 11 13 71 121 143 169 781 923 1331 1573 1859 8191 8591 10153 11999 17303 20449 90101 94501 106483 111683 131989 224939 581561 991111 1171313 1228513 1384279 1451879 6397171 7560293 10902221 12884443 15227069 15970669 70368881 83163223 98283809 141728873 167497759 774057691 914795453 1081121899 1842475349 10062749983 11892340889 130815749779