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2100220412377 is a prime number
BaseRepresentation
bin11110100011111110111…
…001000100000111011001
321102210000222020022011011
4132203332321010013121
5233402222411144002
64244454500133521
7304510263645163
oct36437671040731
97383028208134
102100220412377
1173a775740a7a
1229b0536972a1
13123085927129
1473918cc7933
15399717548d7
hex1e8fee441d9

2100220412377 has 2 divisors, whose sum is σ = 2100220412378. Its totient is φ = 2100220412376.

The previous prime is 2100220412363. The next prime is 2100220412431. The reversal of 2100220412377 is 7732140220012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1673773537536 + 426446874841 = 1293744^2 + 653029^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100220412377 - 211 = 2100220410329 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100220412347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050110206188 + 1050110206189.

It is an arithmetic number, because the mean of its divisors is an integer number (1050110206189).

Almost surely, 22100220412377 is an apocalyptic number.

It is an amenable number.

2100220412377 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100220412377 is an equidigital number, since it uses as much as digits as its factorization.

2100220412377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9408, while the sum is 31.

Adding to 2100220412377 its reverse (7732140220012), we get a palindrome (9832360632389).

The spelling of 2100220412377 in words is "two trillion, one hundred billion, two hundred twenty million, four hundred twelve thousand, three hundred seventy-seven".