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2312436606097 is a prime number
BaseRepresentation
bin100001101001100111111…
…101100110010010010001
322012001210200102221000211
4201221213331212102101
5300341332232343342
64530152501444121
7326032222560262
oct41514775462221
98161720387024
102312436606097
118117761a7342
123141ba410641
1313a0a5b14ba7
147dccb5c2969
1540242401c17
hex21a67f66491

2312436606097 has 2 divisors, whose sum is σ = 2312436606098. Its totient is φ = 2312436606096.

The previous prime is 2312436606049. The next prime is 2312436606107. The reversal of 2312436606097 is 7906066342132.

2312436606097 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., 2180374138881 + 132062467216 = 1476609^2 + 363404^2 .

It is a cyclic number.

It is not a de Polignac number, because 2312436606097 - 227 = 2312302388369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2312436606097.

It is not a weakly prime, because it can be changed into another prime (2312436606497) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156218303048 + 1156218303049.

It is an arithmetic number, because the mean of its divisors is an integer number (1156218303049).

Almost surely, 22312436606097 is an apocalyptic number.

It is an amenable number.

2312436606097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2312436606097 is an equidigital number, since it uses as much as digits as its factorization.

2312436606097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1959552, while the sum is 49.

The spelling of 2312436606097 in words is "two trillion, three hundred twelve billion, four hundred thirty-six million, six hundred six thousand, ninety-seven".