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331431234121001 = 75313134471197831
BaseRepresentation
bin100101101011011110101100…
…0111110100010110100101001
31121110111111221120010212221102
41023112331120332202310221
5321420132131413333001
63132521223525451145
7126545054643364520
oct11326753076426451
91543444846125842
10331431234121001
11966712192a3203
1231209715870ab5
13112c1aa63c3121
145bbb5006c94b7
15284b4488ebe6b
hex12d6f58fa2d29

331431234121001 has 32 divisors (see below), whose sum is σ = 388884560080896. Its totient is φ = 276586756056000.

The previous prime is 331431234120881. The next prime is 331431234121007. The reversal of 331431234121001 is 100121432134133.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331431234121001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331431234121007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675226156 + ... + 1675423986.

It is an arithmetic number, because the mean of its divisors is an integer number (12152642502528).

Almost surely, 2331431234121001 is an apocalyptic number.

It is an amenable number.

331431234121001 is a deficient number, since it is larger than the sum of its proper divisors (57453325959895).

331431234121001 is a wasteful number, since it uses less digits than its factorization.

331431234121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232493.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 331431234121001 its reverse (100121432134133), we get a palindrome (431552666255134).

The spelling of 331431234121001 in words is "three hundred thirty-one trillion, four hundred thirty-one billion, two hundred thirty-four million, one hundred twenty-one thousand, one".

Divisors: 1 7 53 131 371 917 6943 34471 48601 197831 241297 1384817 1826963 4515701 10485043 12788741 25915861 31609907 73395301 181411027 239332153 1373540633 1675325071 6819432401 9614784431 47736026807 361429917253 893345644531 2530009420771 6253419511717 47347319160143 331431234121001