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11221101331 = 111576497453
BaseRepresentation
bin10100111001101010…
…00110101100010011
31001222000111000020121
422130311012230103
5140440100220311
65053243051111
7545032534066
oct123465065423
931860430217
1011221101331
114839023570
122211b10a97
13109a98c43b
147863c68dd
1545a1b5b71
hex29cd46b13

11221101331 has 8 divisors (see below), whose sum is σ = 12319172784. Its totient is φ = 10136025120.

The previous prime is 11221101299. The next prime is 11221101337. The reversal of 11221101331 is 13310112211.

It is a happy number.

11221101331 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 not a de Polignac number, because 11221101331 - 25 = 11221101299 is a prime.

It is a super-2 number, since 2×112211013312 (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 (11221101337) 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, 3247000 + ... + 3250453.

It is an arithmetic number, because the mean of its divisors is an integer number (1539896598).

Almost surely, 211221101331 is an apocalyptic number.

11221101331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11221101331 is a deficient number, since it is larger than the sum of its proper divisors (1098071453).

11221101331 is a wasteful number, since it uses less digits than its factorization.

11221101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6497621.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11221101331 its reverse (13310112211), we get a palindrome (24531213542).

The spelling of 11221101331 in words is "eleven billion, two hundred twenty-one million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 11 157 1727 6497453 71471983 1020100121 11221101331