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431111041212231 = 33100915824653717
BaseRepresentation
bin110001000000101111101110…
…0011110000101111101000111
32002112102210221201000100011000
41202001133130132011331013
5423001310403022242411
64124521402255144343
7156543513330656322
oct14201373436057507
92075383851010130
10431111041212231
111154021907a4926
124042825b5150b3
131567279b08c133
147865c586197b9
1534c92c2d88956
hex18817dc785f47

431111041212231 has 16 divisors (see below), whose sum is σ = 639316010207200. Its totient is φ = 287122517023104.

The previous prime is 431111041212221. The next prime is 431111041212277. The reversal of 431111041212231 is 132212140111134.

431111041212231 is a `hidden beast` number, since 4 + 3 + 1 + 1 + 1 + 1 + 0 + 412 + 12 + 231 = 666.

It is not a de Polignac number, because 431111041212231 - 25 = 431111041212199 is a prime.

It is a super-2 number, since 2×4311110412122312 (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 Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 431111041212195 and 431111041212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431111041212221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7912299616 + ... + 7912354101.

It is an arithmetic number, because the mean of its divisors is an integer number (39957250637950).

Almost surely, 2431111041212231 is an apocalyptic number.

431111041212231 is a deficient number, since it is larger than the sum of its proper divisors (208204968994969).

431111041212231 is a wasteful number, since it uses less digits than its factorization.

431111041212231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15824654735 (or 15824654729 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 431111041212231 its reverse (132212140111134), we get a palindrome (563323181323365).

The spelling of 431111041212231 in words is "four hundred thirty-one trillion, one hundred eleven billion, forty-one million, two hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 9 27 1009 3027 9081 27243 15824653717 47473961151 142421883453 427265650359 15967075600453 47901226801359 143703680404077 431111041212231