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2123414417 is a prime number
BaseRepresentation
bin111111010010000…
…1011101110010001
312110222120121222102
41332210023232101
513322043230132
6550412050145
7103422503405
oct17644135621
95428517872
102123414417
1199a680753
124b3163955
1327abc8447
14162023105
15c663ec62
hex7e90bb91

2123414417 has 2 divisors, whose sum is σ = 2123414418. Its totient is φ = 2123414416.

The previous prime is 2123414411. The next prime is 2123414431. The reversal of 2123414417 is 7144143212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1487567761 + 635846656 = 38569^2 + 25216^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123414417 - 24 = 2123414401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2123414417.

It is not a weakly prime, because it can be changed into another prime (2123414411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061707208 + 1061707209.

It is an arithmetic number, because the mean of its divisors is an integer number (1061707209).

Almost surely, 22123414417 is an apocalyptic number.

It is an amenable number.

2123414417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123414417 is an equidigital number, since it uses as much as digits as its factorization.

2123414417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5376, while the sum is 29.

The square root of 2123414417 is about 46080.5210148496. The cubic root of 2123414417 is about 1285.3209525981.

Adding to 2123414417 its reverse (7144143212), we get a palindrome (9267557629).

The spelling of 2123414417 in words is "two billion, one hundred twenty-three million, four hundred fourteen thousand, four hundred seventeen".