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2310123200101 is a prime number
BaseRepresentation
bin100001100111011110000…
…100101001111001100101
322011211211110100201121021
4201213132010221321211
5300322113014400401
64525131141251141
7325621002132343
oct41473604517145
98154743321537
102310123200101
1181079935a162
12313873703ab1
13139ac7757ac2
147db4c264993
15401592832a1
hex219de129e65

2310123200101 has 2 divisors, whose sum is σ = 2310123200102. Its totient is φ = 2310123200100.

The previous prime is 2310123200083. The next prime is 2310123200111. The reversal of 2310123200101 is 1010023210132.

2310123200101 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., 2263791068100 + 46332132001 = 1504590^2 + 215249^2 .

It is a cyclic number.

It is not a de Polignac number, because 2310123200101 - 27 = 2310123199973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2310123200111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1155061600050 + 1155061600051.

It is an arithmetic number, because the mean of its divisors is an integer number (1155061600051).

Almost surely, 22310123200101 is an apocalyptic number.

It is an amenable number.

2310123200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2310123200101 is an equidigital number, since it uses as much as digits as its factorization.

2310123200101 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 16.

Adding to 2310123200101 its reverse (1010023210132), we get a palindrome (3320146410233).

The spelling of 2310123200101 in words is "two trillion, three hundred ten billion, one hundred twenty-three million, two hundred thousand, one hundred one".