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2231311441 is a prime number
BaseRepresentation
bin1000010011111111…
…0001110001010001
312202111121100212111
42010333301301101
514032203431231
61005224425321
7106202556112
oct20477616121
95674540774
102231311441
11a45576347
12523318241
13297375538
141724ac209
15d0d544b1
hex84ff1c51

2231311441 has 2 divisors, whose sum is σ = 2231311442. Its totient is φ = 2231311440.

The previous prime is 2231311429. The next prime is 2231311451. The reversal of 2231311441 is 1441131322.

2231311441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1637901841 + 593409600 = 40471^2 + 24360^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231311441 - 29 = 2231310929 is a prime.

It is a super-3 number, since 3×22313114413 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2231311451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115655720 + 1115655721.

It is an arithmetic number, because the mean of its divisors is an integer number (1115655721).

Almost surely, 22231311441 is an apocalyptic number.

It is an amenable number.

2231311441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231311441 is an equidigital number, since it uses as much as digits as its factorization.

2231311441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 576, while the sum is 22.

The square root of 2231311441 is about 47236.7594252612. The cubic root of 2231311441 is about 1306.7326146418.

Adding to 2231311441 its reverse (1441131322), we get a palindrome (3672442763).

The spelling of 2231311441 in words is "two billion, two hundred thirty-one million, three hundred eleven thousand, four hundred forty-one".