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120131030320 = 245734377953
BaseRepresentation
bin110111111100001011…
…1100000110100110000
3102111002010201122022021
41233320113200310300
53432012020432240
6131104252521224
711451646624000
oct1577027406460
9374063648267
10120131030320
1146a46920144
121b347780214
13b4363a3ac2
145b588d4000
1531d173954a
hex1bf85e0d30

120131030320 has 80 divisors (see below), whose sum is σ = 325719777600. Its totient is φ = 41187772416.

The previous prime is 120131030317. The next prime is 120131030323. The reversal of 120131030320 is 23030131021.

120131030320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120131030317) and next prime (120131030323).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120131030294 and 120131030303.

It is not an unprimeable number, because it can be changed into a prime (120131030323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2161537 + ... + 2216416.

It is an arithmetic number, because the mean of its divisors is an integer number (4071497220).

Almost surely, 2120131030320 is an apocalyptic number.

120131030320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120131030320 is an abundant number, since it is smaller than the sum of its proper divisors (205588747280).

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

120131030320 is an equidigital number, since it uses as much as digits as its factorization.

120131030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377987 (or 4377967 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 120131030320 its reverse (23030131021), we get a palindrome (143161161341).

The spelling of 120131030320 in words is "one hundred twenty billion, one hundred thirty-one million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1715 1960 2744 3430 3920 5488 6860 13720 27440 4377953 8755906 17511812 21889765 30645671 35023624 43779530 61291342 70047248 87559060 122582684 153228355 175118120 214519697 245165368 306456710 350236240 429039394 490330736 612913420 858078788 1072598485 1225826840 1501637879 1716157576 2145196970 2451653680 3003275758 3432315152 4290393940 6006551516 7508189395 8580787880 12013103032 15016378790 17161575760 24026206064 30032757580 60065515160 120131030320