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130395441 = 31123171799
BaseRepresentation
bin1111100010110…
…10110100110001
3100002100202220210
413301122310301
5231340123231
620534454333
73142225431
oct761326461
9302322823
10130395441
1167672030
12378043a9
1321026787
14134642c1
15b6aaa46
hex7c5ad31

130395441 has 16 divisors (see below), whose sum is σ = 197913600. Its totient is φ = 75591120.

The previous prime is 130395439. The next prime is 130395449. The reversal of 130395441 is 144593031.

It is not a de Polignac number, because 130395441 - 21 = 130395439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130395399 and 130395408.

It is not an unprimeable number, because it can be changed into a prime (130395449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85141 + ... + 86658.

It is an arithmetic number, because the mean of its divisors is an integer number (12369600).

Almost surely, 2130395441 is an apocalyptic number.

130395441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130395441 is a deficient number, since it is larger than the sum of its proper divisors (67518159).

130395441 is a wasteful number, since it uses less digits than its factorization.

130395441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171836.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 130395441 is about 11419.0823186454. The cubic root of 130395441 is about 507.0928291135.

The spelling of 130395441 in words is "one hundred thirty million, three hundred ninety-five thousand, four hundred forty-one".

Divisors: 1 3 11 23 33 69 253 759 171799 515397 1889789 3951377 5669367 11854131 43465147 130395441