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2047121413 is a prime number
BaseRepresentation
bin111101000000100…
…1001100000000101
312021200000112122121
41322001021200011
513143030341123
6535044525541
7101505150001
oct17201114005
95250015577
102047121413
11960601687
124916b08b1
1326816545c
14155c43701
15beabe75d
hex7a049805

2047121413 has 2 divisors, whose sum is σ = 2047121414. Its totient is φ = 2047121412.

The previous prime is 2047121381. The next prime is 2047121477. The reversal of 2047121413 is 3141217402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1912050529 + 135070884 = 43727^2 + 11622^2 .

It is a cyclic number.

It is not a de Polignac number, because 2047121413 - 25 = 2047121381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2045121413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1023560706 + 1023560707.

It is an arithmetic number, because the mean of its divisors is an integer number (1023560707).

Almost surely, 22047121413 is an apocalyptic number.

It is an amenable number.

2047121413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2047121413 is an equidigital number, since it uses as much as digits as its factorization.

2047121413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2047121413 is about 45245.1258479850. The cubic root of 2047121413 is about 1269.7392179532.

Adding to 2047121413 its reverse (3141217402), we get a palindrome (5188338815).

The spelling of 2047121413 in words is "two billion, forty-seven million, one hundred twenty-one thousand, four hundred thirteen".