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213040332041 is a prime number
BaseRepresentation
bin1100011001101000110…
…0010111110100001001
3202100220010222012010012
43012122030113310021
511442301311111131
6241511441401305
721251223641525
oct3063214276411
9670803865105
10213040332041
1182393793719
1235356939235
1317121b72894
14a44dd48d85
15581d1e152b
hex319a317d09

213040332041 has 2 divisors, whose sum is σ = 213040332042. Its totient is φ = 213040332040.

The previous prime is 213040331951. The next prime is 213040332067. The reversal of 213040332041 is 140233040312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212540362441 + 499969600 = 461021^2 + 22360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213040332041 is a prime.

It is a super-2 number, since 2×2130403320412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213040331998 and 213040332016.

It is not a weakly prime, because it can be changed into another prime (213040332091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106520166020 + 106520166021.

It is an arithmetic number, because the mean of its divisors is an integer number (106520166021).

Almost surely, 2213040332041 is an apocalyptic number.

It is an amenable number.

213040332041 is a deficient number, since it is larger than the sum of its proper divisors (1).

213040332041 is an equidigital number, since it uses as much as digits as its factorization.

213040332041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 213040332041 its reverse (140233040312), we get a palindrome (353273372353).

The spelling of 213040332041 in words is "two hundred thirteen billion, forty million, three hundred thirty-two thousand, forty-one".