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3121431101 is a prime number
BaseRepresentation
bin1011101000001101…
…0100001000111101
322001112112010111022
42322003110020331
522343041243401
61233423033525
7140231504135
oct27203241075
98045463438
103121431101
111361a6a428
1273143b8a5
133a98bc969
142187b5ac5
1513407d71b
hexba0d423d

3121431101 has 2 divisors, whose sum is σ = 3121431102. Its totient is φ = 3121431100.

The previous prime is 3121431097. The next prime is 3121431143. The reversal of 3121431101 is 1011341213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2889600025 + 231831076 = 53755^2 + 15226^2 .

It is a cyclic number.

It is not a de Polignac number, because 3121431101 - 22 = 3121431097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3121431101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3121431161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560715550 + 1560715551.

It is an arithmetic number, because the mean of its divisors is an integer number (1560715551).

Almost surely, 23121431101 is an apocalyptic number.

It is an amenable number.

3121431101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121431101 is an equidigital number, since it uses as much as digits as its factorization.

3121431101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 3121431101 is about 55869.7691153275. The cubic root of 3121431101 is about 1461.4520958197.

Adding to 3121431101 its reverse (1011341213), we get a palindrome (4132772314).

The spelling of 3121431101 in words is "three billion, one hundred twenty-one million, four hundred thirty-one thousand, one hundred one".