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120321011331 = 3310741647979
BaseRepresentation
bin111000000001110110…
…0001110111010000011
3102111120101012200021000
41300003230032322003
53432404134330311
6131135200503043
711456444502333
oct1600354167203
9374511180230
10120321011331
114703408a744
121b39b31aa83
13b4668609c1
145b75c290c3
1531e3265056
hex1c03b0ee83

120321011331 has 16 divisors (see below), whose sum is σ = 179919273600. Its totient is φ = 79464342024.

The previous prime is 120321011323. The next prime is 120321011347. The reversal of 120321011331 is 133110123021.

120321011331 is a `hidden beast` number, since 1 + 2 + 0 + 321 + 0 + 11 + 331 = 666.

It is not a de Polignac number, because 120321011331 - 23 = 120321011323 is a prime.

It is a super-3 number, since 3×1203210113313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (120321011311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20821101 + ... + 20826878.

It is an arithmetic number, because the mean of its divisors is an integer number (11244954600).

Almost surely, 2120321011331 is an apocalyptic number.

120321011331 is a deficient number, since it is larger than the sum of its proper divisors (59598262269).

120321011331 is a wasteful number, since it uses less digits than its factorization.

120321011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41648095 (or 41648089 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120321011331 its reverse (133110123021), we get a palindrome (253431134352).

The spelling of 120321011331 in words is "one hundred twenty billion, three hundred twenty-one million, eleven thousand, three hundred thirty-one".

Divisors: 1 3 9 27 107 321 963 2889 41647979 124943937 374831811 1124495433 4456333753 13369001259 40107003777 120321011331