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331240112430201 = 321312413692280637
BaseRepresentation
bin100101101010000101101100…
…1001111001001110001111001
31121102211020121221222001001200
41023110023121033021301321
5321404014222240231301
63132253335032404413
7126525210526666062
oct11324133117116171
91542736557861050
10331240112430201
11965a8163067127
1231198677546709
13112a9a68587860
145bb216d7c3569
1528464aeb17c86
hex12d42d93c9c79

331240112430201 has 24 divisors (see below), whose sum is σ = 515263038118920. Its totient is φ = 203839815603456.

The previous prime is 331240112430173. The next prime is 331240112430239. The reversal of 331240112430201 is 102034211042133.

331240112430201 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 401 + 1 + 24 + 30 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2264495270976 + 328975617159225 = 1504824^2 + 18137685^2 .

It is not a de Polignac number, because 331240112430201 - 221 = 331240110333049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331240112430701) 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, 144099855 + ... + 146380491.

It is an arithmetic number, because the mean of its divisors is an integer number (21469293254955).

Almost surely, 2331240112430201 is an apocalyptic number.

It is an amenable number.

331240112430201 is a deficient number, since it is larger than the sum of its proper divisors (184022925688719).

331240112430201 is a wasteful number, since it uses less digits than its factorization.

331240112430201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522025 (or 3522022 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 331240112430201 its reverse (102034211042133), we get a palindrome (433274323472334).

The spelling of 331240112430201 in words is "three hundred thirty-one trillion, two hundred forty billion, one hundred twelve million, four hundred thirty thousand, two hundred one".

Divisors: 1 3 9 13 39 117 1241369 2280637 3724107 6841911 11172321 16137797 20525733 29648281 48413391 88944843 145240173 266834529 2831112072053 8493336216159 25480008648477 36804456936689 110413370810067 331240112430201