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11144100401 = 79716412519
BaseRepresentation
bin10100110000011110…
…10111101000110001
31001202122120221211022
422120033113220301
5140310342203101
65041452425225
7543106201430
oct123017275061
931678527738
1011144100401
1147a9610635
1221b0178215
131087a3c165
1477a0a1117
15453555a1b
hex2983d7a31

11144100401 has 8 divisors (see below), whose sum is σ = 12867415680. Its totient is φ = 9453610368.

The previous prime is 11144100371. The next prime is 11144100413. The reversal of 11144100401 is 10400144111.

11144100401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11144100401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11144100401.

It is not an unprimeable number, because it can be changed into a prime (11144100421) 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 7 ways as a sum of consecutive naturals, for example, 8205581 + ... + 8206938.

It is an arithmetic number, because the mean of its divisors is an integer number (1608426960).

Almost surely, 211144100401 is an apocalyptic number.

It is an amenable number.

11144100401 is a deficient number, since it is larger than the sum of its proper divisors (1723315279).

11144100401 is an equidigital number, since it uses as much as digits as its factorization.

11144100401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16412623.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11144100401 its reverse (10400144111), we get a palindrome (21544244512).

The spelling of 11144100401 in words is "eleven billion, one hundred forty-four million, one hundred thousand, four hundred one".

Divisors: 1 7 97 679 16412519 114887633 1592014343 11144100401