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431064121 = 17434911201
BaseRepresentation
bin11001101100011…
…000010000111001
31010001010022210211
4121230120100321
51340323022441
6110435111121
713452661465
oct3154302071
91101108724
10431064121
11201362944
121004424a1
136b3c9a37
144136d4a5
1527c9ca81
hex19b18439

431064121 has 16 divisors (see below), whose sum is σ = 468376128. Its totient is φ = 395136000.

The previous prime is 431064107. The next prime is 431064163. The reversal of 431064121 is 121460134.

It is a cyclic number.

It is not a de Polignac number, because 431064121 - 217 = 430933049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 431064092 and 431064101.

It is not an unprimeable number, because it can be changed into a prime (431064181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358321 + ... + 359521.

It is an arithmetic number, because the mean of its divisors is an integer number (29273508).

Almost surely, 2431064121 is an apocalyptic number.

It is an amenable number.

431064121 is a deficient number, since it is larger than the sum of its proper divisors (37312007).

431064121 is a wasteful number, since it uses less digits than its factorization.

431064121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 431064121 is about 20762.0837345388. The cubic root of 431064121 is about 755.4063400457.

The spelling of 431064121 in words is "four hundred thirty-one million, sixty-four thousand, one hundred twenty-one".

Divisors: 1 17 43 491 731 1201 8347 20417 21113 51643 358921 589691 877931 10024747 25356713 431064121