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213759011131 is a prime number
BaseRepresentation
bin1100011100010100000…
…1111010100100111011
3202102202020021212111021
43013011001322210323
512000234301324011
6242111033243311
721305101421041
oct3070501724473
9672666255437
10213759011131
1182722430986
1235517563537
1317207a22093
14a4bb586391
155861353471
hex31c507a93b

213759011131 has 2 divisors, whose sum is σ = 213759011132. Its totient is φ = 213759011130.

The previous prime is 213759011129. The next prime is 213759011183. The reversal of 213759011131 is 131110957312.

213759011131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 213759011131 - 21 = 213759011129 is a prime.

It is a super-2 number, since 2×2137590111312 (a number of 23 digits) contains 22 as substring.

Together with 213759011129, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (213759071131) 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 as a sum of consecutive naturals, namely, 106879505565 + 106879505566.

It is an arithmetic number, because the mean of its divisors is an integer number (106879505566).

Almost surely, 2213759011131 is an apocalyptic number.

213759011131 is a deficient number, since it is larger than the sum of its proper divisors (1).

213759011131 is an equidigital number, since it uses as much as digits as its factorization.

213759011131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 34.

Adding to 213759011131 its reverse (131110957312), we get a palindrome (344869968443).

The spelling of 213759011131 in words is "two hundred thirteen billion, seven hundred fifty-nine million, eleven thousand, one hundred thirty-one".