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11110000101 = 3371014432237
BaseRepresentation
bin10100101100011010…
…10010010111100101
31001200021102111000020
422112031102113211
5140223130000401
65034233505353
7542213304564
oct122615222745
931607374006
1011110000101
11479133a572
1221a0872259
13108095ca75
14775745bdb
1545056bd36
hex2963525e5

11110000101 has 32 divisors (see below), whose sum is σ = 15405890688. Its totient is φ = 7115846400.

The previous prime is 11110000073. The next prime is 11110000117. The reversal of 11110000101 is 10100001111.

11110000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11110000101 - 26 = 11110000037 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11110000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110000141) 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 in 31 ways as a sum of consecutive naturals, for example, 4965355 + ... + 4967591.

It is an arithmetic number, because the mean of its divisors is an integer number (481434084).

Almost surely, 211110000101 is an apocalyptic number.

It is an amenable number.

11110000101 is a deficient number, since it is larger than the sum of its proper divisors (4295890587).

11110000101 is a wasteful number, since it uses less digits than its factorization.

11110000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11110000101 its reverse (10100001111), we get a palindrome (21210001212).

The spelling of 11110000101 in words is "eleven billion, one hundred ten million, one hundred one", and thus it is an aban number.

Divisors: 1 3 37 101 111 303 443 1329 2237 3737 6711 11211 16391 44743 49173 82769 134229 225937 248307 677811 990991 1655491 2972973 4966473 8359669 25079007 36666667 100090091 110000001 300270273 3703333367 11110000101