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2312200022137 is a prime number
BaseRepresentation
bin100001101001011001110…
…111000110100001111001
322012001012012021012211221
4201221121313012201321
5300340341201202022
64530113210552041
7326023320623155
oct41513167064171
98161165235757
102312200022137
118116646a7305
12314153138621
1313a068abbb95
147dca7dda065
154022b76ccc7
hex21a59dc6879

2312200022137 has 2 divisors, whose sum is σ = 2312200022138. Its totient is φ = 2312200022136.

The previous prime is 2312200022123. The next prime is 2312200022147. The reversal of 2312200022137 is 7312200022132.

2312200022137 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., 1396511791081 + 915688231056 = 1181741^2 + 956916^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2312200022137 is a prime.

It is not a weakly prime, because it can be changed into another prime (2312200022147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156100011068 + 1156100011069.

It is an arithmetic number, because the mean of its divisors is an integer number (1156100011069).

Almost surely, 22312200022137 is an apocalyptic number.

It is an amenable number.

2312200022137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2312200022137 is an equidigital number, since it uses as much as digits as its factorization.

2312200022137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 25.

Adding to 2312200022137 its reverse (7312200022132), we get a palindrome (9624400044269).

It can be divided in two parts, 2312 and 200022137, that added together give a square (200024449 = 141432).

The spelling of 2312200022137 in words is "two trillion, three hundred twelve billion, two hundred million, twenty-two thousand, one hundred thirty-seven".