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120321112113 = 3237412987509
BaseRepresentation
bin111000000001110110…
…0100111100000110001
3102111120101101210111200
41300003230213200301
53432404201041423
6131135203001413
711456445402216
oct1600354474061
9374511353450
10120321112113
1147034149434
121b39b369269
13b466897837
145b75c53b0d
1531e3284d43
hex1c03b27831

120321112113 has 24 divisors (see below), whose sum is σ = 178539652200. Its totient is φ = 78026333184.

The previous prime is 120321112073. The next prime is 120321112129. The reversal of 120321112113 is 311211123021.

120321112113 is a `hidden beast` number, since 120 + 321 + 11 + 211 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81325921329 + 38995190784 = 285177^2 + 197472^2 .

It is not a de Polignac number, because 120321112113 - 26 = 120321112049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120321112183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1331203 + ... + 1418711.

It is an arithmetic number, because the mean of its divisors is an integer number (7439152175).

Almost surely, 2120321112113 is an apocalyptic number.

It is an amenable number.

120321112113 is a deficient number, since it is larger than the sum of its proper divisors (58218540087).

120321112113 is a wasteful number, since it uses less digits than its factorization.

120321112113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91681 (or 91678 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 120321112113 its reverse (311211123021), we get a palindrome (431532235134).

The spelling of 120321112113 in words is "one hundred twenty billion, three hundred twenty-one million, one hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 9 37 111 333 4129 12387 37161 87509 152773 262527 458319 787581 1374957 3237833 9713499 29140497 361324661 1083973983 3251921949 13369012457 40107037371 120321112113