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130026721 = 11483107
BaseRepresentation
bin1111100000000…
…00110011100001
3100001200001010111
413300000303201
5231241323341
620522531321
73136131436
oct760006341
9301601114
10130026721
1167440000
1237666b41
1320c279b6
14133a9b8d
15b636681
hex7c00ce1

130026721 has 20 divisors (see below), whose sum is σ = 146104560. Its totient is φ = 115690520.

The previous prime is 130026683. The next prime is 130026733. The reversal of 130026721 is 127620031.

It is not a de Polignac number, because 130026721 - 213 = 130018529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130026692 and 130026701.

It is not an unprimeable number, because it can be changed into a prime (130026781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1215150 + ... + 1215256.

It is an arithmetic number, because the mean of its divisors is an integer number (7305228).

Almost surely, 2130026721 is an apocalyptic number.

130026721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130026721 is a deficient number, since it is larger than the sum of its proper divisors (16077839).

130026721 is an frugal number, since it uses more digits than its factorization.

130026721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 130026721 is about 11402.9259841499. The cubic root of 130026721 is about 506.6144080354.

Adding to 130026721 its reverse (127620031), we get a palindrome (257646752).

The spelling of 130026721 in words is "one hundred thirty million, twenty-six thousand, seven hundred twenty-one".

Divisors: 1 11 83 107 121 913 1177 1331 8881 10043 12947 14641 97691 110473 142417 1074601 1215203 1566587 11820611 130026721