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112221122121 = 3212469013569
BaseRepresentation
bin110100010000011100…
…1100110111001001001
3101201122212211200010100
41220200321212321021
53314312101401441
6123315332040013
711051641541103
oct1504071467111
9351585750110
10112221122121
1143657997029
12198ba763009
13a775715654
14560819c573
152dbc0d7cb6
hex1a20e66e49

112221122121 has 6 divisors (see below), whose sum is σ = 162097176410. Its totient is φ = 74814081408.

The previous prime is 112221122113. The next prime is 112221122171. The reversal of 112221122121 is 121221122211.

It can be written as a sum of positive squares in only one way, i.e., 59323422096 + 52897700025 = 243564^2 + 229995^2 .

It is not a de Polignac number, because 112221122121 - 23 = 112221122113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112221122094 and 112221122103.

It is not an unprimeable number, because it can be changed into a prime (112221122171) 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 5 ways as a sum of consecutive naturals, for example, 6234506776 + ... + 6234506793.

Almost surely, 2112221122121 is an apocalyptic number.

It is an amenable number.

112221122121 is a deficient number, since it is larger than the sum of its proper divisors (49876054289).

112221122121 is a wasteful number, since it uses less digits than its factorization.

112221122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12469013575 (or 12469013572 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 112221122121 its reverse (121221122211), we get a palindrome (233442244332).

The spelling of 112221122121 in words is "one hundred twelve billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 12469013569 37407040707 112221122121