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11221001121 = 31110122714831
BaseRepresentation
bin10100111001101001…
…01110001110100001
31001222000021220210010
422130310232032201
5140440034013441
65053240555133
7545031635661
oct123464561641
931860256703
1011221001121
114838a65250
122211a82aa9
13109a955945
1478639c1a1
1545a196116
hex29cd2e3a1

11221001121 has 32 divisors (see below), whose sum is σ = 16556783616. Its totient is φ = 6703160000.

The previous prime is 11221001119. The next prime is 11221001161. The reversal of 11221001121 is 12110012211.

11221001121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11221001121 - 21 = 11221001119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11221001097 and 11221001106.

It is not an unprimeable number, because it can be changed into a prime (11221001161) 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 31 ways as a sum of consecutive naturals, for example, 749176 + ... + 764006.

It is an arithmetic number, because the mean of its divisors is an integer number (517399488).

Almost surely, 211221001121 is an apocalyptic number.

11221001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11221001121 is a deficient number, since it is larger than the sum of its proper divisors (5335782495).

11221001121 is a wasteful number, since it uses less digits than its factorization.

11221001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15173.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11221001121 its reverse (12110012211), we get a palindrome (23331013332).

The spelling of 11221001121 in words is "eleven billion, two hundred twenty-one million, one thousand, one hundred twenty-one".

Divisors: 1 3 11 33 101 227 303 681 1111 2497 3333 7491 14831 22927 44493 68781 163141 252197 489423 756591 1497931 3366637 4493793 10099911 16477241 37033007 49431723 111099021 340030337 1020091011 3740333707 11221001121