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3031133101 is a prime number
BaseRepresentation
bin1011010010101011…
…0110101110101101
321211020121111220221
42310222312232231
522201432224401
61220435411341
7135054130513
oct26452665655
97736544827
103031133101
111315aa5187
12707153b51
13393c951a9
1420a7cc4b3
1512b1937a1
hexb4ab6bad

3031133101 has 2 divisors, whose sum is σ = 3031133102. Its totient is φ = 3031133100.

The previous prime is 3031133087. The next prime is 3031133117. The reversal of 3031133101 is 1013311303.

It is an a-pointer prime, because the next prime (3031133117) can be obtained adding 3031133101 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1908816100 + 1122317001 = 43690^2 + 33501^2 .

It is a cyclic number.

It is not a de Polignac number, because 3031133101 - 25 = 3031133069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3031133401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1515566550 + 1515566551.

It is an arithmetic number, because the mean of its divisors is an integer number (1515566551).

Almost surely, 23031133101 is an apocalyptic number.

It is an amenable number.

3031133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3031133101 is an equidigital number, since it uses as much as digits as its factorization.

3031133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 3031133101 is about 55055.7272315969. The cubic root of 3031133101 is about 1447.2214886891.

Adding to 3031133101 its reverse (1013311303), we get a palindrome (4044444404).

The spelling of 3031133101 in words is "three billion, thirty-one million, one hundred thirty-three thousand, one hundred one".