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211240213357 is a prime number
BaseRepresentation
bin1100010010111011100…
…1011101101101101101
3202012020200201200111211
43010232321131231231
511430104443311412
6241013054514421
721155505121225
oct3045671355555
9665220650454
10211240213357
118164a658928
1234b33b05a11
1316bc5c407b4
14a31cc41085
155765162ca7
hex312ee5db6d

211240213357 has 2 divisors, whose sum is σ = 211240213358. Its totient is φ = 211240213356.

The previous prime is 211240213309. The next prime is 211240213367. The reversal of 211240213357 is 753312042112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134939410281 + 76300803076 = 367341^2 + 276226^2 .

It is a cyclic number.

It is not a de Polignac number, because 211240213357 - 211 = 211240211309 is a prime.

It is a super-2 number, since 2×2112402133572 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211240213367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105620106678 + 105620106679.

It is an arithmetic number, because the mean of its divisors is an integer number (105620106679).

Almost surely, 2211240213357 is an apocalyptic number.

It is an amenable number.

211240213357 is a deficient number, since it is larger than the sum of its proper divisors (1).

211240213357 is an equidigital number, since it uses as much as digits as its factorization.

211240213357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 31.

Adding to 211240213357 its reverse (753312042112), we get a palindrome (964552255469).

The spelling of 211240213357 in words is "two hundred eleven billion, two hundred forty million, two hundred thirteen thousand, three hundred fifty-seven".