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432431031213 = 3320837688893
BaseRepresentation
bin1100100101011101110…
…01011110001110101101
31112100011212021110021000
412102232321132032231
524041104320444323
6530353413430513
743146021055266
oct6225671361655
91470155243230
10432431031213
11157436053135
126b98433b439
1331a1656553c
1416d0342796d
15b3adb77e43
hex64aee5e3ad

432431031213 has 16 divisors (see below), whose sum is σ = 640946203840. Its totient is φ = 288148916592.

The previous prime is 432431031191. The next prime is 432431031217. The reversal of 432431031213 is 312130134234.

It is a happy number.

432431031213 is a `hidden beast` number, since 4 + 3 + 24 + 310 + 312 + 13 = 666.

It is not a de Polignac number, because 432431031213 - 25 = 432431031181 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432431031217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3788206 + ... + 3900687.

It is an arithmetic number, because the mean of its divisors is an integer number (40059137740).

Almost surely, 2432431031213 is an apocalyptic number.

It is an amenable number.

432431031213 is a deficient number, since it is larger than the sum of its proper divisors (208515172627).

432431031213 is a wasteful number, since it uses less digits than its factorization.

432431031213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7690985 (or 7690979 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 432431031213 its reverse (312130134234), we get a palindrome (744561165447).

The spelling of 432431031213 in words is "four hundred thirty-two billion, four hundred thirty-one million, thirty-one thousand, two hundred thirteen".

Divisors: 1 3 9 27 2083 6249 18747 56241 7688893 23066679 69200037 207600111 16015964119 48047892357 144143677071 432431031213