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2121111757 is a prime number
BaseRepresentation
bin111111001101101…
…1001100011001101
312110211020122022201
41332123121203031
513321001034012
6550250441501
7103364103202
oct17633314315
95424218281
102121111757
11999348726
124b2433291
1327a5a031b
141619c3ca9
15c6337857
hex7e6d98cd

2121111757 has 2 divisors, whose sum is σ = 2121111758. Its totient is φ = 2121111756.

The previous prime is 2121111689. The next prime is 2121111787. The reversal of 2121111757 is 7571111212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1931250916 + 189860841 = 43946^2 + 13779^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2121111757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121111787) 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, 1060555878 + 1060555879.

It is an arithmetic number, because the mean of its divisors is an integer number (1060555879).

Almost surely, 22121111757 is an apocalyptic number.

It is an amenable number.

2121111757 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121111757 is an equidigital number, since it uses as much as digits as its factorization.

2121111757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 980, while the sum is 28.

The square root of 2121111757 is about 46055.5290600379. The cubic root of 2121111757 is about 1284.8561779413.

Adding to 2121111757 its reverse (7571111212), we get a palindrome (9692222969).

The spelling of 2121111757 in words is "two billion, one hundred twenty-one million, one hundred eleven thousand, seven hundred fifty-seven".