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130880021 = 736412797
BaseRepresentation
bin1111100110100…
…01001000010101
3100010021101122012
413303101020111
5232001130041
620553114005
73146314256
oct763211025
9303241565
10130880021
1167973108
12379b8905
13211661cc
141354cb2d
15b7543eb
hex7cd1215

130880021 has 8 divisors (see below), whose sum is σ = 132927384. Its totient is φ = 128839680.

The previous prime is 130880017. The next prime is 130880027. The reversal of 130880021 is 120088031.

130880021 = 80892 + 80902.

It can be written as a sum of positive squares in 4 ways, for example, as 65448100 + 65431921 = 8090^2 + 8089^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130880021 - 22 = 130880017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130880027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45395 + ... + 48191.

It is an arithmetic number, because the mean of its divisors is an integer number (16615923).

Almost surely, 2130880021 is an apocalyptic number.

130880021 is the 8090-th centered square number.

It is an amenable number.

130880021 is a deficient number, since it is larger than the sum of its proper divisors (2047363).

130880021 is an equidigital number, since it uses as much as digits as its factorization.

130880021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 130880021 is about 11440.2806346698. The cubic root of 130880021 is about 507.7202111627.

The spelling of 130880021 in words is "one hundred thirty million, eight hundred eighty thousand, twenty-one".

Divisors: 1 73 641 2797 46793 204181 1792877 130880021