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432213134223 = 31322337064843
BaseRepresentation
bin1100100101000011110…
…10010000101110001111
31112022121200021010210010
412102201322100232033
524040133030243343
6530320031244303
743140434011143
oct6224172205617
91468550233703
10432213134223
11157334056982
126b923379693
13319b0383100
1416cc2507223
15b399985d33
hex64a1e90b8f

432213134223 has 24 divisors (see below), whose sum is σ = 651155179392. Its totient is φ = 254413075488.

The previous prime is 432213134219. The next prime is 432213134231. The reversal of 432213134223 is 322431312234.

It is a happy number.

It is not a de Polignac number, because 432213134223 - 22 = 432213134219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432213134203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18520761 + ... + 18544082.

It is an arithmetic number, because the mean of its divisors is an integer number (27131465808).

Almost surely, 2432213134223 is an apocalyptic number.

432213134223 is a deficient number, since it is larger than the sum of its proper divisors (218942045169).

432213134223 is a wasteful number, since it uses less digits than its factorization.

432213134223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37064895 (or 37064882 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 432213134223 its reverse (322431312234), we get a palindrome (754644446457).

The spelling of 432213134223 in words is "four hundred thirty-two billion, two hundred thirteen million, one hundred thirty-four thousand, two hundred twenty-three".

Divisors: 1 3 13 23 39 69 169 299 507 897 3887 11661 37064843 111194529 481842959 852491389 1445528877 2557474167 6263958467 11082388057 18791875401 33247164171 144071044741 432213134223