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130431000 = 2335376211
BaseRepresentation
bin1111100011000…
…11100000011000
3100002102120200210
413301203200120
5231342243000
620535331120
73142434210
oct761434030
9302376623
10130431000
1167696817
1237820aa0
1321039a0b
1413473240
15b6b6350
hex7c63818

130431000 has 128 divisors (see below), whose sum is σ = 465154560. Its totient is φ = 29808000.

The previous prime is 130430983. The next prime is 130431017. The reversal of 130431000 is 134031.

It is an interprime number because it is at equal distance from previous prime (130430983) and next prime (130431017).

It is a super-2 number, since 2×1304310002 = 34024491522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17895 + ... + 24105.

It is an arithmetic number, because the mean of its divisors is an integer number (3634020).

Almost surely, 2130431000 is an apocalyptic number.

130431000 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 130431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232577280).

130431000 is an abundant number, since it is smaller than the sum of its proper divisors (334723560).

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

130431000 is a wasteful number, since it uses less digits than its factorization.

130431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 130431000 is about 11420.6392115328. The cubic root of 130431000 is about 507.1389198738.

Adding to 130431000 its reverse (134031), we get a palindrome (130565031).

The spelling of 130431000 in words is "one hundred thirty million, four hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 6211 7000 10500 12422 18633 21000 24844 31055 37266 43477 49688 62110 74532 86954 93165 124220 130431 149064 155275 173908 186330 217385 248440 260862 310550 347816 372660 434770 465825 521724 621100 652155 745320 776375 869540 931650 1043448 1086925 1242200 1304310 1552750 1739080 1863300 2173850 2329125 2608620 3105500 3260775 3726600 4347700 4658250 5217240 5434625 6211000 6521550 8695400 9316500 10869250 13043100 16303875 18633000 21738500 26086200 32607750 43477000 65215500 130431000