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11144000101 = 13265940829
BaseRepresentation
bin10100110000011101…
…11111001001100101
31001202122101212020111
422120032333021211
5140310331000401
65041450333021
7543105303133
oct123016771145
931678355214
1011144000101
1147a9552243
1221b012a171
131087a05600
1477a076753
15453535e51
hex2983bf265

11144000101 has 6 divisors (see below), whose sum is σ = 12067171890. Its totient is φ = 10286769168.

The previous prime is 11144000083. The next prime is 11144000113. The reversal of 11144000101 is 10100044111.

It can be written as a sum of positive squares in 3 ways, for example, as 638775076 + 10505225025 = 25274^2 + 102495^2 .

It is not a de Polignac number, because 11144000101 - 27 = 11143999973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144000171) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32970246 + ... + 32970583.

It is an arithmetic number, because the mean of its divisors is an integer number (2011195315).

Almost surely, 211144000101 is an apocalyptic number.

It is an amenable number.

11144000101 is a deficient number, since it is larger than the sum of its proper divisors (923171789).

11144000101 is an equidigital number, since it uses as much as digits as its factorization.

11144000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65940855 (or 65940842 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11144000101 its reverse (10100044111), we get a palindrome (21244044212).

The spelling of 11144000101 in words is "eleven billion, one hundred forty-four million, one hundred one", and thus it is an aban number.

Divisors: 1 13 169 65940829 857230777 11144000101