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32200232013 = 32281101312569
BaseRepresentation
bin11101111111010010…
…001000110001001101
310002010002102021021200
4131333102020301031
51011421224411023
622443110420113
72216644312305
oct357722106115
9102102367250
1032200232013
11127242119a4
1262a7961639
133062178231
1417b6746605
15c86d8e743
hex77f488c4d

32200232013 has 24 divisors (see below), whose sum is σ = 46726762680. Its totient is φ = 21367610880.

The previous prime is 32200232003. The next prime is 32200232021. The reversal of 32200232013 is 31023200223.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6349380489 + 25850851524 = 79683^2 + 160782^2 .

It is not a de Polignac number, because 32200232013 - 24 = 32200231997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32200232003) 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, 2555593 + ... + 2568161.

It is an arithmetic number, because the mean of its divisors is an integer number (1946948445).

Almost surely, 232200232013 is an apocalyptic number.

It is an amenable number.

32200232013 is a deficient number, since it is larger than the sum of its proper divisors (14526530667).

32200232013 is a wasteful number, since it uses less digits than its factorization.

32200232013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13869 (or 13866 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 32200232013 its reverse (31023200223), we get a palindrome (63223432236).

The spelling of 32200232013 in words is "thirty-two billion, two hundred million, two hundred thirty-two thousand, thirteen".

Divisors: 1 3 9 281 843 1013 2529 3039 9117 12569 37707 113121 284653 853959 2561877 3531889 10595667 12732397 31787001 38197191 114591573 3577803557 10733410671 32200232013