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130280929 = 1923131153
BaseRepresentation
bin1111100001111…
…10110111100001
3100002010221211121
413300332313201
5231322442204
620532212241
73141240532
oct760766741
9302127747
10130280929
11675a3a99
123776a081
1320cb660c
1413434689
15b686b54
hex7c3ede1

130280929 has 12 divisors (see below), whose sum is σ = 138057636. Its totient is φ = 122923008.

The previous prime is 130280921. The next prime is 130280951. The reversal of 130280929 is 929082031.

It can be written as a sum of positive squares in 2 ways, for example, as 40030929 + 90250000 = 6327^2 + 9500^2 .

It is not a de Polignac number, because 130280929 - 23 = 130280921 is a prime.

It is a super-2 number, since 2×1302809292 = 33946240922206082, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130280894 and 130280903.

It is not an unprimeable number, because it can be changed into a prime (130280921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112417 + ... + 113569.

It is an arithmetic number, because the mean of its divisors is an integer number (11504803).

Almost surely, 2130280929 is an apocalyptic number.

130280929 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

130280929 is a deficient number, since it is larger than the sum of its proper divisors (7776707).

130280929 is a wasteful number, since it uses less digits than its factorization.

130280929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 130280929 is about 11414.0671541743. The cubic root of 130280929 is about 506.9443443193.

The spelling of 130280929 in words is "one hundred thirty million, two hundred eighty thousand, nine hundred twenty-nine".

Divisors: 1 19 313 361 1153 5947 21907 112993 360889 416233 6856891 130280929