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101022210173 is a prime number
BaseRepresentation
bin101111000010101100…
…1001001100001111101
3100122202102002222222202
41132011121021201331
53123343141211143
6114224200321245
710204265422043
oct1360531114175
9318672088882
10101022210173
11399304497a5
12176b4173225
1396ac525031
144c64b10393
152963d56ab8
hex178564987d

101022210173 has 2 divisors, whose sum is σ = 101022210174. Its totient is φ = 101022210172.

The previous prime is 101022210097. The next prime is 101022210193. The reversal of 101022210173 is 371012220101.

It is an a-pointer prime, because the next prime (101022210193) can be obtained adding 101022210173 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82186569124 + 18835641049 = 286682^2 + 137243^2 .

It is an emirp because it is prime and its reverse (371012220101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101022210173 - 218 = 101021948029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101022210193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511105086 + 50511105087.

It is an arithmetic number, because the mean of its divisors is an integer number (50511105087).

Almost surely, 2101022210173 is an apocalyptic number.

It is an amenable number.

101022210173 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022210173 is an equidigital number, since it uses as much as digits as its factorization.

101022210173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 101022210173 its reverse (371012220101), we get a palindrome (472034430274).

The spelling of 101022210173 in words is "one hundred one billion, twenty-two million, two hundred ten thousand, one hundred seventy-three".