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10212020177 is a prime number
BaseRepresentation
bin10011000001010111…
…10000111111010001
3222100200201101010112
421200223300333101
5131403234121202
64405155011105
7511030511402
oct114053607721
928320641115
1010212020177
1143704679a7
121b8bb99a95
13c698c29b8
146cc3939a9
153eb7ddb52
hex260af0fd1

10212020177 has 2 divisors, whose sum is σ = 10212020178. Its totient is φ = 10212020176.

The previous prime is 10212020167. The next prime is 10212020179. The reversal of 10212020177 is 77102021201.

10212020177 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., 8370237121 + 1841783056 = 91489^2 + 42916^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212020177 - 214 = 10212003793 is a prime.

It is a super-2 number, since 2×102120201772 (a number of 21 digits) contains 22 as substring.

Together with 10212020179, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10212020179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106010088 + 5106010089.

It is an arithmetic number, because the mean of its divisors is an integer number (5106010089).

Almost surely, 210212020177 is an apocalyptic number.

It is an amenable number.

10212020177 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212020177 is an equidigital number, since it uses as much as digits as its factorization.

10212020177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 23.

Adding to 10212020177 its reverse (77102021201), we get a palindrome (87314041378).

The spelling of 10212020177 in words is "ten billion, two hundred twelve million, twenty thousand, one hundred seventy-seven".