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120320322330 = 23513246151479
BaseRepresentation
bin111000000001110100…
…1100110101100011010
3102111120022220200010110
41300003221212230122
53432404000303310
6131135134025150
711456435602515
oct1600351465432
9374508820113
10120320322330
114703375a01a
121b39b0481b6
13b46667c200
145b75ac9d7c
1531e317ad20
hex1c03a66b1a

120320322330 has 96 divisors (see below), whose sum is σ = 313374821760. Its totient is φ = 29552490240.

The previous prime is 120320322233. The next prime is 120320322383. The reversal of 120320322330 is 33223023021.

It is a junction number, because it is equal to n+sod(n) for n = 120320322297 and 120320322306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2311531 + ... + 2363009.

It is an arithmetic number, because the mean of its divisors is an integer number (3264321060).

Almost surely, 2120320322330 is an apocalyptic number.

120320322330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120320322330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156687410880).

120320322330 is an abundant number, since it is smaller than the sum of its proper divisors (193054499430).

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

120320322330 is a wasteful number, since it uses less digits than its factorization.

120320322330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51976 (or 51963 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 120320322330 its reverse (33223023021), we get a palindrome (153543345351).

The spelling of 120320322330 in words is "one hundred twenty billion, three hundred twenty million, three hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 461 507 845 922 1014 1383 1690 2305 2535 2766 4610 5070 5993 6915 11986 13830 17979 29965 35958 51479 59930 77909 89895 102958 154437 155818 179790 233727 257395 308874 389545 467454 514790 669227 772185 779090 1168635 1338454 1544370 2007681 2337270 3346135 4015362 6692270 8699951 10038405 17399902 20076810 23731819 26099853 43499755 47463638 52199706 71195457 86999510 118659095 130499265 142390914 237318190 260998530 308513647 355977285 617027294 711954570 925540941 1542568235 1851081882 3085136470 4010677411 4627704705 8021354822 9255409410 12032032233 20053387055 24064064466 40106774110 60160161165 120320322330