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320130120 = 23357933769
BaseRepresentation
bin10011000101001…
…100110001001000
3211022101021222010
4103011030301020
51123423130440
651433255520
710635026652
oct2305146110
9738337863
10320130120
11154783552
128b2645a0
135142850b
14307336d2
151d188580
hex1314cc48

320130120 has 64 divisors (see below), whose sum is σ = 972576000. Its totient is φ = 84284928.

The previous prime is 320130089. The next prime is 320130121. The reversal of 320130120 is 21031023.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 320130096 and 320130105.

It is not an unprimeable number, because it can be changed into a prime (320130121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7405 + ... + 26364.

It is an arithmetic number, because the mean of its divisors is an integer number (15196500).

Almost surely, 2320130120 is an apocalyptic number.

320130120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320130120 is an abundant number, since it is smaller than the sum of its proper divisors (652445880).

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

320130120 is a wasteful number, since it uses less digits than its factorization.

320130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33862 (or 33858 counting only the distinct ones).

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

The square root of 320130120 is about 17892.1804149187. The cubic root of 320130120 is about 684.0830753035.

Adding to 320130120 its reverse (21031023), we get a palindrome (341161143).

The spelling of 320130120 in words is "three hundred twenty million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 316 395 474 632 790 948 1185 1580 1896 2370 3160 4740 9480 33769 67538 101307 135076 168845 202614 270152 337690 405228 506535 675380 810456 1013070 1350760 2026140 2667751 4052280 5335502 8003253 10671004 13338755 16006506 21342008 26677510 32013012 40016265 53355020 64026024 80032530 106710040 160065060 320130120