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144008101 is a prime number
BaseRepresentation
bin10001001010101…
…10001110100101
3101000222100222101
420211112032211
5243331224401
622142332101
73366022456
oct1045261645
9330870871
10144008101
117431a466
124028a031
1323ab17c3
14151a912d
15c999101
hex89563a5

144008101 has 2 divisors, whose sum is σ = 144008102. Its totient is φ = 144008100.

The previous prime is 144008089. The next prime is 144008131. The reversal of 144008101 is 101800441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134583201 + 9424900 = 11601^2 + 3070^2 .

It is a cyclic number.

It is not a de Polignac number, because 144008101 - 25 = 144008069 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144008131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72004050 + 72004051.

It is an arithmetic number, because the mean of its divisors is an integer number (72004051).

Almost surely, 2144008101 is an apocalyptic number.

It is an amenable number.

144008101 is a deficient number, since it is larger than the sum of its proper divisors (1).

144008101 is an equidigital number, since it uses as much as digits as its factorization.

144008101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 144008101 is about 12000.3375369195. The cubic root of 144008101 is about 524.1581076510.

Adding to 144008101 its reverse (101800441), we get a palindrome (245808542).

The spelling of 144008101 in words is "one hundred forty-four million, eight thousand, one hundred one".