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2123513441 = 7243337009
BaseRepresentation
bin111111010010010…
…0011111001100001
312110222202122210222
41332210203321201
513322104412231
6550414132425
7103423365200
oct17644437141
95428678728
102123513441
1199a739095
124b31b1115
1327ac3153a
1416204b237
15c665e27b
hex7e923e61

2123513441 has 6 divisors (see below), whose sum is σ = 2470209570. Its totient is φ = 1820154336.

The previous prime is 2123513411. The next prime is 2123513449. The reversal of 2123513441 is 1443153212.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1621753441 + 501760000 = 40271^2 + 22400^2 .

It is not a de Polignac number, because 2123513441 - 26 = 2123513377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2123513441.

It is not an unprimeable number, because it can be changed into a prime (2123513449) 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 in 5 ways as a sum of consecutive naturals, for example, 21668456 + ... + 21668553.

It is an arithmetic number, because the mean of its divisors is an integer number (411701595).

Almost surely, 22123513441 is an apocalyptic number.

It is an amenable number.

2123513441 is a deficient number, since it is larger than the sum of its proper divisors (346696129).

2123513441 is an equidigital number, since it uses as much as digits as its factorization.

2123513441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43337023 (or 43337016 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 2123513441 is about 46081.5954693411. The cubic root of 2123513441 is about 1285.3409323129.

Adding to 2123513441 its reverse (1443153212), we get a palindrome (3566666653).

The spelling of 2123513441 in words is "two billion, one hundred twenty-three million, five hundred thirteen thousand, four hundred forty-one".

Divisors: 1 7 49 43337009 303359063 2123513441