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2122201748977 is a prime number
BaseRepresentation
bin11110111000011101000…
…101001101010111110001
321111212202212222220020221
4132320131011031113301
5234232232121431402
64302532004333041
7306216065142502
oct36703505152761
97455685886227
102122201748977
1174902561a562
122a33690a4181
1312517994318b
1474a023aaba9
153a30b3e8337
hex1ee1d14d5f1

2122201748977 has 2 divisors, whose sum is σ = 2122201748978. Its totient is φ = 2122201748976.

The previous prime is 2122201748903. The next prime is 2122201748987. The reversal of 2122201748977 is 7798471022212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1363018890256 + 759182858721 = 1167484^2 + 871311^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122201748977 is a prime.

It is a super-2 number, since 2×21222017489772 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2122201748987) 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, 1061100874488 + 1061100874489.

It is an arithmetic number, because the mean of its divisors is an integer number (1061100874489).

Almost surely, 22122201748977 is an apocalyptic number.

It is an amenable number.

2122201748977 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122201748977 is an equidigital number, since it uses as much as digits as its factorization.

2122201748977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1580544, while the sum is 52.

The spelling of 2122201748977 in words is "two trillion, one hundred twenty-two billion, two hundred one million, seven hundred forty-eight thousand, nine hundred seventy-seven".