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2121112057 is a prime number
BaseRepresentation
bin111111001101101…
…1001100111111001
312110211020122201211
41332123121213321
513321001041212
6550250443121
7103364104111
oct17633314771
95424218654
102121112057
11999348979
124b24334a1
1327a5a04bc
141619c4041
15c63379a7
hex7e6d99f9

2121112057 has 2 divisors, whose sum is σ = 2121112058. Its totient is φ = 2121112056.

The previous prime is 2121112051. The next prime is 2121112079. The reversal of 2121112057 is 7502111212.

It is an a-pointer prime, because the next prime (2121112079) can be obtained adding 2121112057 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1894338576 + 226773481 = 43524^2 + 15059^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2121112057 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121112051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060556028 + 1060556029.

It is an arithmetic number, because the mean of its divisors is an integer number (1060556029).

Almost surely, 22121112057 is an apocalyptic number.

It is an amenable number.

2121112057 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121112057 is an equidigital number, since it uses as much as digits as its factorization.

2121112057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 22.

The square root of 2121112057 is about 46055.5323169758. The cubic root of 2121112057 is about 1284.8562385159.

Adding to 2121112057 its reverse (7502111212), we get a palindrome (9623223269).

It can be divided in two parts, 212111205 and 7, that added together give a palindrome (212111212).

The spelling of 2121112057 in words is "two billion, one hundred twenty-one million, one hundred twelve thousand, fifty-seven".