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130192641 = 3276119009
BaseRepresentation
bin1111100001010…
…01010100000001
3100001222110201200
413300221110001
5231312131031
620530251413
73140422245
oct760512401
9301873650
10130192641
1167543727
1237726b69
1320c85387
1413410425
15b66a8e6
hex7c29501

130192641 has 12 divisors (see below), whose sum is σ = 188313060. Its totient is φ = 86676480.

The previous prime is 130192633. The next prime is 130192669. The reversal of 130192641 is 146291031.

130192641 is a `hidden beast` number, since 1 + 3 + 0 + 19 + 2 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42302016 + 87890625 = 6504^2 + 9375^2 .

It is not a de Polignac number, because 130192641 - 23 = 130192633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130192631) 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 11 ways as a sum of consecutive naturals, for example, 2656 + ... + 16353.

It is an arithmetic number, because the mean of its divisors is an integer number (15692755).

Almost surely, 2130192641 is an apocalyptic number.

It is an amenable number.

130192641 is a deficient number, since it is larger than the sum of its proper divisors (58120419).

130192641 is a wasteful number, since it uses less digits than its factorization.

130192641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19776 (or 19773 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 130192641 is about 11410.1989903770. The cubic root of 130192641 is about 506.8298041057.

The spelling of 130192641 in words is "one hundred thirty million, one hundred ninety-two thousand, six hundred forty-one".

Divisors: 1 3 9 761 2283 6849 19009 57027 171081 14465849 43397547 130192641