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130321320 = 233517193331
BaseRepresentation
bin1111100010010…
…00101110101000
3100002020000020120
413301020232220
5231330240240
620533123240
73141466353
oct761105650
9302200216
10130321320
1167621378
1237789520
1320ccbb0c
141344529a
15b693ad0
hex7c48ba8

130321320 has 128 divisors (see below), whose sum is σ = 417363840. Its totient is φ = 32440320.

The previous prime is 130321313. The next prime is 130321339. The reversal of 130321320 is 23123031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130321320.

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 31 ways as a sum of consecutive naturals, for example, 393555 + ... + 393885.

It is an arithmetic number, because the mean of its divisors is an integer number (3260655).

Almost surely, 2130321320 is an apocalyptic number.

130321320 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 130321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208681920).

130321320 is an abundant number, since it is smaller than the sum of its proper divisors (287042520).

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

130321320 is a wasteful number, since it uses less digits than its factorization.

130321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 130321320 is about 11415.8363688343. The cubic root of 130321320 is about 506.9967282291.

Adding to 130321320 its reverse (23123031), we get a palindrome (153444351).

The spelling of 130321320 in words is "one hundred thirty million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 193 204 255 331 340 386 408 510 579 662 680 772 965 993 1020 1158 1324 1544 1655 1930 1986 2040 2316 2648 2895 3281 3310 3860 3972 4632 4965 5627 5790 6562 6620 7720 7944 9843 9930 11254 11580 13124 13240 16405 16881 19686 19860 22508 23160 26248 28135 32810 33762 39372 39720 45016 49215 56270 63883 65620 67524 78744 84405 98430 112540 127766 131240 135048 168810 191649 196860 225080 255532 319415 337620 383298 393720 511064 638830 675240 766596 958245 1086011 1277660 1533192 1916490 2172022 2555320 3258033 3832980 4344044 5430055 6516066 7665960 8688088 10860110 13032132 16290165 21720220 26064264 32580330 43440440 65160660 130321320