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11828382001 = 88801133201
BaseRepresentation
bin10110000010000011…
…01100100100110001
31010112100012001201021
423001001230210301
5143211031211001
65233415135441
7566055405502
oct130101544461
933470161637
1011828382001
11501a8a4517
122361374581
131166736c07
14802d06ba9
15493670ba1
hex2c106c931

11828382001 has 4 divisors (see below), whose sum is σ = 11828604004. Its totient is φ = 11828160000.

The previous prime is 11828381987. The next prime is 11828382053. The reversal of 11828382001 is 10028382811.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10028382811 = 73137375107.

It can be written as a sum of positive squares in 2 ways, for example, as 3262694400 + 8565687601 = 57120^2 + 92551^2 .

It is a 3-Lehmer number, since φ(11828382001) divides (11828382001-1)3.

It is a cyclic number.

It is not a de Polignac number, because 11828382001 - 25 = 11828381969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11828382301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22201 + ... + 155401.

It is an arithmetic number, because the mean of its divisors is an integer number (2957151001).

It is a Poulet number, since it divides 211828382000-1.

Almost surely, 211828382001 is an apocalyptic number.

11828382001 is the 88801-st pentagonal number.

It is an amenable number.

11828382001 is a deficient number, since it is larger than the sum of its proper divisors (222003).

11828382001 is an equidigital number, since it uses as much as digits as its factorization.

11828382001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222002.

The product of its (nonzero) digits is 6144, while the sum is 34.

The spelling of 11828382001 in words is "eleven billion, eight hundred twenty-eight million, three hundred eighty-two thousand, one".

Divisors: 1 88801 133201 11828382001