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13132202213 = 137313837937
BaseRepresentation
bin11000011101011110…
…11000000011100101
31020220012112222210202
430032233120003211
5203343320432323
610011032400245
7643266606554
oct141657300345
936805488722
1013132202213
115629870989
122665b46085
1313138ab970
148c813dd9b
1551cd67d28
hex30ebd80e5

13132202213 has 8 divisors (see below), whose sum is σ = 14336103768. Its totient is φ = 11955976704.

The previous prime is 13132202207. The next prime is 13132202219. The reversal of 13132202213 is 31220223131.

13132202213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13132202207) and next prime (13132202219).

It can be written as a sum of positive squares in 4 ways, for example, as 185858689 + 12946343524 = 13633^2 + 113782^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13132202213 - 218 = 13131940069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132202219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6918020 + ... + 6919917.

It is an arithmetic number, because the mean of its divisors is an integer number (1792012971).

Almost surely, 213132202213 is an apocalyptic number.

13132202213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13132202213 is a deficient number, since it is larger than the sum of its proper divisors (1203901555).

13132202213 is a wasteful number, since it uses less digits than its factorization.

13132202213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13838023.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13132202213 its reverse (31220223131), we get a palindrome (44352425344).

The spelling of 13132202213 in words is "thirteen billion, one hundred thirty-two million, two hundred two thousand, two hundred thirteen".

Divisors: 1 13 73 949 13837937 179893181 1010169401 13132202213