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13211303213 = 373491023101
BaseRepresentation
bin11000100110111010…
…00111110100101101
31021002201101201222102
430103131013310231
5204024043200323
610022540024445
7645250136663
oct142335076455
937081351872
1013211303213
11566a488709
122688532125
1313270b5aa4
148d4850c33
15524c90328
hex313747d2d

13211303213 has 8 divisors (see below), whose sum is σ = 13607256600. Its totient is φ = 12817396800.

The previous prime is 13211303207. The next prime is 13211303219. The reversal of 13211303213 is 31230311231.

It is an interprime number because it is at equal distance from previous prime (13211303207) and next prime (13211303219).

It can be written as a sum of positive squares in 4 ways, for example, as 6552416809 + 6658886404 = 80947^2 + 81602^2 .

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 13211303213 - 212 = 13211299117 is a prime.

It is a super-3 number, since 3×132113032133 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211303219) 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 7 ways as a sum of consecutive naturals, for example, 498638 + ... + 524463.

It is an arithmetic number, because the mean of its divisors is an integer number (1700907075).

Almost surely, 213211303213 is an apocalyptic number.

It is an amenable number.

13211303213 is a deficient number, since it is larger than the sum of its proper divisors (395953387).

13211303213 is a wasteful number, since it uses less digits than its factorization.

13211303213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023487.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13211303213 its reverse (31230311231), we get a palindrome (44441614444).

The spelling of 13211303213 in words is "thirteen billion, two hundred eleven million, three hundred three thousand, two hundred thirteen".

Divisors: 1 37 349 12913 1023101 37854737 357062249 13211303213