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130123000 = 2353729641
BaseRepresentation
bin1111100000110…
…00010011111000
3100001211221012101
413300120103320
5231302414000
620524553144
73140012230
oct760302370
9301757171
10130123000
11674a6377
12376b27b4
1320c5c777
14133d2cc0
15b654e6a
hex7c184f8

130123000 has 128 divisors (see below), whose sum is σ = 360547200. Its totient is φ = 43008000.

The previous prime is 130122989. The next prime is 130123009. The reversal of 130123000 is 321031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130123009) 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 31 ways as a sum of consecutive naturals, for example, 202680 + ... + 203320.

It is an arithmetic number, because the mean of its divisors is an integer number (2816775).

Almost surely, 2130123000 is an apocalyptic number.

130123000 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 130123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180273600).

130123000 is an abundant number, since it is smaller than the sum of its proper divisors (230424200).

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

130123000 is a wasteful number, since it uses less digits than its factorization.

130123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 130123000 is about 11407.1468825469. The cubic root of 130123000 is about 506.7394189928.

Adding to 130123000 its reverse (321031), we get a palindrome (130444031).

The spelling of 130123000 in words is "one hundred thirty million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 29 35 40 50 56 58 70 100 116 125 140 145 175 200 203 232 250 280 290 350 406 500 580 641 700 725 812 875 1000 1015 1160 1282 1400 1450 1624 1750 2030 2564 2900 3205 3500 3625 4060 4487 5075 5128 5800 6410 7000 7250 8120 8974 10150 12820 14500 16025 17948 18589 20300 22435 25375 25640 29000 32050 35896 37178 40600 44870 50750 64100 74356 80125 89740 92945 101500 112175 128200 130123 148712 160250 179480 185890 203000 224350 260246 320500 371780 448700 464725 520492 560875 641000 650615 743560 897400 929450 1040984 1121750 1301230 1858900 2243500 2323625 2602460 3253075 3717800 4487000 4647250 5204920 6506150 9294500 13012300 16265375 18589000 26024600 32530750 65061500 130123000