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103022312201 is a prime number
BaseRepresentation
bin101111111110010011…
…0111011101100001001
3100211220210122201011122
41133330212323230021
53141442202442301
6115154445405025
710304663130224
oct1377446735411
9324823581148
10103022312201
113a767455a86
1217b71b69775
13993aa06963
144db45d45bb
152a2e73981b
hex17fc9bbb09

103022312201 has 2 divisors, whose sum is σ = 103022312202. Its totient is φ = 103022312200.

The previous prime is 103022312171. The next prime is 103022312213. The reversal of 103022312201 is 102213220301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96248857600 + 6773454601 = 310240^2 + 82301^2 .

It is an emirp because it is prime and its reverse (102213220301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103022312201 - 234 = 85842443017 is a prime.

It is a super-2 number, since 2×1030223122012 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103022312201.

It is not a weakly prime, because it can be changed into another prime (103022312251) 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, 51511156100 + 51511156101.

It is an arithmetic number, because the mean of its divisors is an integer number (51511156101).

Almost surely, 2103022312201 is an apocalyptic number.

It is an amenable number.

103022312201 is a deficient number, since it is larger than the sum of its proper divisors (1).

103022312201 is an equidigital number, since it uses as much as digits as its factorization.

103022312201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 103022312201 its reverse (102213220301), we get a palindrome (205235532502).

The spelling of 103022312201 in words is "one hundred three billion, twenty-two million, three hundred twelve thousand, two hundred one".