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2231313131 is a prime number
BaseRepresentation
bin1000010011111111…
…0010001011101011
312202111121110012002
42010333302023223
514032204010011
61005224441215
7106202564045
oct20477621353
95674543162
102231313131
11a45577643
1252331920b
13297376238
141724aca95
15d0d54c3b
hex84ff22eb

2231313131 has 2 divisors, whose sum is σ = 2231313132. Its totient is φ = 2231313130.

The previous prime is 2231313107. The next prime is 2231313169. The reversal of 2231313131 is 1313131322.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2231313131 - 222 = 2227118827 is a prime.

It is a super-3 number, since 3×22313131313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2231313181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115656565 + 1115656566.

It is an arithmetic number, because the mean of its divisors is an integer number (1115656566).

Almost surely, 22231313131 is an apocalyptic number.

2231313131 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231313131 is an equidigital number, since it uses as much as digits as its factorization.

2231313131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324, while the sum is 20.

The square root of 2231313131 is about 47236.7773138685. Note that the first 3 decimals coincide. The cubic root of 2231313131 is about 1306.7329445490.

Adding to 2231313131 its reverse (1313131322), we get a palindrome (3544444453).

The spelling of 2231313131 in words is "two billion, two hundred thirty-one million, three hundred thirteen thousand, one hundred thirty-one".