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114311352321 = 3213792709937
BaseRepresentation
bin110101001110101111…
…1001101000000000001
3101221001112222100220200
41222131133031000001
53333102201233241
6124303000555413
711154512314515
oct1523537150001
9357045870820
10114311352321
114452a861a01
121a1a2782b69
13aa1979265a
145765a24145
152e908704b6
hex1a9d7cd001

114311352321 has 12 divisors (see below), whose sum is σ = 166321628772. Its totient is φ = 75651307776.

The previous prime is 114311352299. The next prime is 114311352341. The reversal of 114311352321 is 123253113411.

114311352321 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 113 + 523 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72597374721 + 41713977600 = 269439^2 + 204240^2 .

It is not a de Polignac number, because 114311352321 - 221 = 114309255169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114311352341) 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 11 ways as a sum of consecutive naturals, for example, 46353736 + ... + 46356201.

It is an arithmetic number, because the mean of its divisors is an integer number (13860135731).

Almost surely, 2114311352321 is an apocalyptic number.

It is an amenable number.

114311352321 is a deficient number, since it is larger than the sum of its proper divisors (52010276451).

114311352321 is a wasteful number, since it uses less digits than its factorization.

114311352321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92710080 (or 92710077 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

Adding to 114311352321 its reverse (123253113411), we get a palindrome (237564465732).

The spelling of 114311352321 in words is "one hundred fourteen billion, three hundred eleven million, three hundred fifty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 137 411 1233 92709937 278129811 834389433 12701261369 38103784107 114311352321