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213253521431 = 19181469113219
BaseRepresentation
bin1100011010011011100…
…1101000000000010111
3202101110000010022222112
43012212321220000113
511443220400141211
6241544535021235
721256423011116
oct3064671500027
9671400108875
10213253521431
1182493064aa5
12353b620a81b
1317157097352
14a4703a1c7d
155831ca388b
hex31a6e68017

213253521431 has 16 divisors (see below), whose sum is σ = 225782793600. Its totient is φ = 200855440800.

The previous prime is 213253521427. The next prime is 213253521433. The reversal of 213253521431 is 134125352312.

It is a cyclic number.

It is not a de Polignac number, because 213253521431 - 22 = 213253521427 is a prime.

It is a super-2 number, since 2×2132535214312 (a number of 23 digits) contains 22 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 (213253521433) 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 15 ways as a sum of consecutive naturals, for example, 16125740 + ... + 16138958.

It is an arithmetic number, because the mean of its divisors is an integer number (14111424600).

Almost surely, 2213253521431 is an apocalyptic number.

213253521431 is a deficient number, since it is larger than the sum of its proper divisors (12529272169).

213253521431 is a wasteful number, since it uses less digits than its factorization.

213253521431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18110.

The product of its digits is 21600, while the sum is 32.

Adding to 213253521431 its reverse (134125352312), we get a palindrome (347378873743).

The spelling of 213253521431 in words is "two hundred thirteen billion, two hundred fifty-three million, five hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 19 181 3439 4691 13219 89129 251161 849071 2392639 16132349 45460141 62010329 1178196251 11223869549 213253521431