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130311000 = 23325314479
BaseRepresentation
bin1111100010001…
…10001101011000
3100002012111002100
413301012031120
5231324423000
620533003400
73141424311
oct761061530
9302174070
10130311000
1167614646
1237783560
1320cc7201
1413441608
15b690a00
hex7c46358

130311000 has 96 divisors (see below), whose sum is σ = 440481600. Its totient is φ = 34747200.

The previous prime is 130310989. The next prime is 130311043. The reversal of 130311000 is 113031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1761 + ... + 16239.

It is an arithmetic number, because the mean of its divisors is an integer number (4588350).

Almost surely, 2130311000 is an apocalyptic number.

130311000 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 130311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220240800).

130311000 is an abundant number, since it is smaller than the sum of its proper divisors (310170600).

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

130311000 is a wasteful number, since it uses less digits than its factorization.

130311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14506 (or 14489 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 130311000 is about 11415.3843562098. The cubic root of 130311000 is about 506.9833450407.

Adding to 130311000 its reverse (113031), we get a palindrome (130424031).

The spelling of 130311000 in words is "one hundred thirty million, three hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 14479 28958 43437 57916 72395 86874 115832 130311 144790 173748 217185 260622 289580 347496 361975 434370 521244 579160 651555 723950 868740 1042488 1085925 1303110 1447900 1737480 1809875 2171850 2606220 2895800 3257775 3619750 4343700 5212440 5429625 6515550 7239500 8687400 10859250 13031100 14479000 16288875 21718500 26062200 32577750 43437000 65155500 130311000