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101041222193 is a prime number
BaseRepresentation
bin101111000011010000…
…1101011001000110001
3100122210201212220120122
41132012201223020301
53123413023102233
6114230120020025
710204616134502
oct1360641531061
9318721786518
10101041222193
113994015480a
12176ba601615
1396b3450852
144c6745cba9
15296585ed98
hex178686b231

101041222193 has 2 divisors, whose sum is σ = 101041222194. Its totient is φ = 101041222192.

The previous prime is 101041222187. The next prime is 101041222207. The reversal of 101041222193 is 391222140101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62408533489 + 38632688704 = 249817^2 + 196552^2 .

It is a cyclic number.

It is not a de Polignac number, because 101041222193 - 226 = 100974113329 is a prime.

It is not a weakly prime, because it can be changed into another prime (101041222393) 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, 50520611096 + 50520611097.

It is an arithmetic number, because the mean of its divisors is an integer number (50520611097).

Almost surely, 2101041222193 is an apocalyptic number.

It is an amenable number.

101041222193 is a deficient number, since it is larger than the sum of its proper divisors (1).

101041222193 is an equidigital number, since it uses as much as digits as its factorization.

101041222193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 101041222193 its reverse (391222140101), we get a palindrome (492263362294).

The spelling of 101041222193 in words is "one hundred one billion, forty-one million, two hundred twenty-two thousand, one hundred ninety-three".