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2312101441049 is a prime number
BaseRepresentation
bin100001101001010011111…
…111000010111000011001
322012000221022202210000112
4201221103333002320121
5300340140432103144
64530055330014105
7326021012660561
oct41512377027031
98160838683015
102312101441049
11811613a94934
12314126117335
1313a05155418a
147dc98c97da1
1540222c9899e
hex21a53fc2e19

2312101441049 has 2 divisors, whose sum is σ = 2312101441050. Its totient is φ = 2312101441048.

The previous prime is 2312101440959. The next prime is 2312101441087. The reversal of 2312101441049 is 9401441012132.

2312101441049 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., 2042704109824 + 269397331225 = 1429232^2 + 519035^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2312101441049 is a prime.

It is a super-3 number, since 3×23121014410493 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2312101441249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156050720524 + 1156050720525.

It is an arithmetic number, because the mean of its divisors is an integer number (1156050720525).

Almost surely, 22312101441049 is an apocalyptic number.

It is an amenable number.

2312101441049 is a deficient number, since it is larger than the sum of its proper divisors (1).

2312101441049 is an equidigital number, since it uses as much as digits as its factorization.

2312101441049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 2312101441049 in words is "two trillion, three hundred twelve billion, one hundred one million, four hundred forty-one thousand, forty-nine".