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130141000 = 23531111831
BaseRepresentation
bin1111100000111…
…00101101001000
3100001212211220001
413300130231020
5231304003000
620525212344
73140115553
oct760345510
9301784801
10130141000
1167508950
12377010b4
1320c67a12
14133d969a
15b65a46a
hex7c1cb48

130141000 has 64 divisors (see below), whose sum is σ = 332242560. Its totient is φ = 47320000.

The previous prime is 130140953. The next prime is 130141021. The reversal of 130141000 is 141031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5085 + ... + 16915.

It is an arithmetic number, because the mean of its divisors is an integer number (5191290).

Almost surely, 2130141000 is an apocalyptic number.

130141000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166121280).

130141000 is an abundant number, since it is smaller than the sum of its proper divisors (202101560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130141000 is a wasteful number, since it uses less digits than its factorization.

130141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11863 (or 11849 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 130141000 is about 11407.9358343216. The cubic root of 130141000 is about 506.7627837810.

Adding to 130141000 its reverse (141031), we get a palindrome (130282031).

The spelling of 130141000 in words is "one hundred thirty million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 11831 23662 47324 59155 94648 118310 130141 236620 260282 295775 473240 520564 591550 650705 1041128 1183100 1301410 1478875 2366200 2602820 2957750 3253525 5205640 5915500 6507050 11831000 13014100 16267625 26028200 32535250 65070500 130141000