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3031000121101 is a prime number
BaseRepresentation
bin101100000110110101101…
…011110111111100001101
3101201202112121110121001111
4230012311223313330031
5344124442012333401
610240231111412021
7431661002636641
oct54066553677415
911652477417044
103031000121101
11a69492606577
1240b517984011
1318ca8c175324
14a69b60c0c21
1553c9b074e51
hex2c1b5af7f0d

3031000121101 has 2 divisors, whose sum is σ = 3031000121102. Its totient is φ = 3031000121100.

The previous prime is 3031000121099. The next prime is 3031000121117. The reversal of 3031000121101 is 1011210001303.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1519327412100 + 1511672709001 = 1232610^2 + 1229501^2 .

It is a cyclic number.

It is not a de Polignac number, because 3031000121101 - 21 = 3031000121099 is a prime.

It is a super-2 number, since 2×30310001211012 (a number of 26 digits) contains 22 as substring.

Together with 3031000121099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3031000421101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1515500060550 + 1515500060551.

It is an arithmetic number, because the mean of its divisors is an integer number (1515500060551).

Almost surely, 23031000121101 is an apocalyptic number.

It is an amenable number.

3031000121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

3031000121101 is an equidigital number, since it uses as much as digits as its factorization.

3031000121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 3031000121101 its reverse (1011210001303), we get a palindrome (4042210122404).

The spelling of 3031000121101 in words is "three trillion, thirty-one billion, one hundred twenty-one thousand, one hundred one".