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10404431101 is a prime number
BaseRepresentation
bin10011011000010011…
…10000010011111101
3222212002202212022001
421230021300103331
5132302013243401
64440231022301
7515555130241
oct115411602375
928762685261
1010404431101
11445a037099
12202450a991
13c9a72090c
14709b5c421
1540d649601
hex26c2704fd

10404431101 has 2 divisors, whose sum is σ = 10404431102. Its totient is φ = 10404431100.

The previous prime is 10404431083. The next prime is 10404431119. The reversal of 10404431101 is 10113440401.

10404431101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10404431083) and next prime (10404431119).

It can be written as a sum of positive squares in only one way, i.e., 9985205476 + 419225625 = 99926^2 + 20475^2 .

It is a cyclic number.

It is not a de Polignac number, because 10404431101 - 211 = 10404429053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10404431201) 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, 5202215550 + 5202215551.

It is an arithmetic number, because the mean of its divisors is an integer number (5202215551).

Almost surely, 210404431101 is an apocalyptic number.

It is an amenable number.

10404431101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10404431101 is an equidigital number, since it uses as much as digits as its factorization.

10404431101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10404431101 its reverse (10113440401), we get a palindrome (20517871502).

The spelling of 10404431101 in words is "ten billion, four hundred four million, four hundred thirty-one thousand, one hundred one".