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120313020321 = 32138944925733
BaseRepresentation
bin111000000001100110…
…1101111111110100001
3102111112211011200122200
41300003031233332201
53432400113122241
6131134313323413
711456316541044
oct1600315577641
9374484150580
10120313020321
114702a6219aa
121b398706569
13b464cc36b0
145b74b48c5b
1531e26d74b6
hex1c0336ffa1

120313020321 has 48 divisors (see below), whose sum is σ = 189685314000. Its totient is φ = 73041002496.

The previous prime is 120313020277. The next prime is 120313020329. The reversal of 120313020321 is 123020313021.

120313020321 is a `hidden beast` number, since 12 + 0 + 31 + 302 + 0 + 321 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 35002293921 + 85310726400 = 187089^2 + 292080^2 .

It is not a de Polignac number, because 120313020321 - 26 = 120313020257 is a prime.

It is a super-2 number, since 2×1203130203212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120313020294 and 120313020303.

It is not an unprimeable number, because it can be changed into a prime (120313020329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4662571 + ... + 4688303.

It is an arithmetic number, because the mean of its divisors is an integer number (3951777375).

Almost surely, 2120313020321 is an apocalyptic number.

It is an amenable number.

120313020321 is a deficient number, since it is larger than the sum of its proper divisors (69372293679).

120313020321 is a wasteful number, since it uses less digits than its factorization.

120313020321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26290 (or 26287 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120313020321 its reverse (123020313021), we get a palindrome (243333333342).

The spelling of 120313020321 in words is "one hundred twenty billion, three hundred thirteen million, twenty thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 89 117 267 449 801 1157 1347 3471 4041 5837 10413 17511 25733 39961 52533 77199 119883 231597 334529 359649 519493 1003587 1558479 2290237 3010761 4675437 6870711 11554117 20612133 29773081 34662351 89319243 103987053 150203521 267957729 450610563 1028316413 1351831689 3084949239 9254847717 13368113369 40104340107 120313020321