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10355131609 is a prime number
BaseRepresentation
bin10011010010011011…
…01100010011011001
3222201200000012002221
421221031230103121
5132201403202414
64431310224041
7514416111034
oct115115542331
928650005087
1010355131609
114434224709
12200bab5021
13c9044c314
147033a801b
1540915c224
hex26936c4d9

10355131609 has 2 divisors, whose sum is σ = 10355131610. Its totient is φ = 10355131608.

The previous prime is 10355131517. The next prime is 10355131621. The reversal of 10355131609 is 90613155301.

It is a happy number.

10355131609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10116336400 + 238795209 = 100580^2 + 15453^2 .

It is an emirp because it is prime and its reverse (90613155301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10355131609 - 213 = 10355123417 is a prime.

It is a super-3 number, since 3×103551316093 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10355131669) 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, 5177565804 + 5177565805.

It is an arithmetic number, because the mean of its divisors is an integer number (5177565805).

Almost surely, 210355131609 is an apocalyptic number.

It is an amenable number.

10355131609 is a deficient number, since it is larger than the sum of its proper divisors (1).

10355131609 is an equidigital number, since it uses as much as digits as its factorization.

10355131609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12150, while the sum is 34.

The spelling of 10355131609 in words is "ten billion, three hundred fifty-five million, one hundred thirty-one thousand, six hundred nine".