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11220121216 = 27173506689
BaseRepresentation
bin10100111001100010…
…10111011010000000
31001221221122012210001
422130301113122000
5140434322334331
65053210045344
7545021312443
oct123461273200
931857565701
1011220121216
114838514157
122211719854
13109a7082a5
1478620d65a
1545a070561
hex29cc57680

11220121216 has 32 divisors (see below), whose sum is σ = 22481835300. Its totient is φ = 5577621504.

The previous prime is 11220121181. The next prime is 11220121219. The reversal of 11220121216 is 61212102211.

It can be written as a sum of positive squares in 2 ways, for example, as 11173335616 + 46785600 = 105704^2 + 6840^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×112201212162 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11220121193 and 11220121202.

It is not an unprimeable number, because it can be changed into a prime (11220121219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 231201 + ... + 275488.

Almost surely, 211220121216 is an apocalyptic number.

11220121216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11220121216 is an abundant number, since it is smaller than the sum of its proper divisors (11261714084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11220121216 is an equidigital number, since it uses as much as digits as its factorization.

11220121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506876 (or 506864 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 11220121216 its reverse (61212102211), we get a palindrome (72432223427).

The spelling of 11220121216 in words is "eleven billion, two hundred twenty million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 173 346 692 1384 2768 5536 11072 22144 506689 1013378 2026756 4053512 8107024 16214048 32428096 64856192 87657197 175314394 350628788 701257576 1402515152 2805030304 5610060608 11220121216