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331441230112101 = 3431712908097913
BaseRepresentation
bin100101101011100011010110…
…0110010001110010101100101
31121110112110202012100211220000
41023113012230302032111211
5321420313114402041401
63132525555450331513
7126545560442041644
oct11327065462162545
91543473665324800
10331441230112101
119667548881a27a
123120b645429b99
13112c2a0a308965
145bbbbac0c735b
15284b831267186
hex12d71acc8e565

331441230112101 has 20 divisors (see below), whose sum is σ = 496677791534892. Its totient is φ = 220263782770368.

The previous prime is 331441230112087. The next prime is 331441230112123. The reversal of 331441230112101 is 101211032144133.

331441230112101 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 412 + 30 + 1 + 1 + 210 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29015739663876 + 302425490448225 = 5386626^2 + 17390385^2 .

It is a de Polignac number, because none of the positive numbers 2k-331441230112101 is a prime.

It is a super-2 number, since 2×3314412301121012 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331441230112901) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6454023280 + ... + 6454074633.

Almost surely, 2331441230112101 is an apocalyptic number.

It is an amenable number.

331441230112101 is a deficient number, since it is larger than the sum of its proper divisors (165236561422791).

331441230112101 is a wasteful number, since it uses less digits than its factorization.

331441230112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12908098242 (or 12908098233 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 331441230112101 its reverse (101211032144133), we get a palindrome (432652262256234).

The spelling of 331441230112101 in words is "three hundred thirty-one trillion, four hundred forty-one billion, two hundred thirty million, one hundred twelve thousand, one hundred one".

Divisors: 1 3 9 27 81 317 951 2853 8559 25677 12908097913 38724293739 116172881217 348518643651 1045555930953 4091867038421 12275601115263 36826803345789 110480410037367 331441230112101