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11231112001 = 411558117581
BaseRepresentation
bin10100111010110110…
…10010101101000001
31001222201022121022011
422131123102231001
5141000131041001
65054241412521
7545213606524
oct123533225501
931881277264
1011231112001
11484374074a
12221533a141
13109ca85b05
14787870bbb
1545aee1d51
hex29d6d2b41

11231112001 has 8 divisors (see below), whose sum is σ = 11506434408. Its totient is φ = 10955856000.

The previous prime is 11231111987. The next prime is 11231112007. The reversal of 11231112001 is 10021113211.

It is a happy number.

11231112001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 153760000 + 11077352001 = 12400^2 + 105249^2 .

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

It is a de Polignac number, because none of the positive numbers 2k-11231112001 is a prime.

It is a super-2 number, since 2×112311120012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11231112007) 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, 630031 + ... + 647611.

It is an arithmetic number, because the mean of its divisors is an integer number (1438304301).

Almost surely, 211231112001 is an apocalyptic number.

It is an amenable number.

11231112001 is a deficient number, since it is larger than the sum of its proper divisors (275322407).

11231112001 is a wasteful number, since it uses less digits than its factorization.

11231112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33203.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11231112001 its reverse (10021113211), we get a palindrome (21252225212).

The spelling of 11231112001 in words is "eleven billion, two hundred thirty-one million, one hundred twelve thousand, one".

Divisors: 1 41 15581 17581 638821 720821 273929561 11231112001