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11122202120 = 235881315613
BaseRepresentation
bin10100101101110111…
…10101011000001000
31001201010101102000212
422112323311120020
5140234240431440
65035351220252
7542422105151
oct122673653010
931633342025
1011122202120
114798214087
1221a4977688
1310833429b3
14777200928
1545167c465
hex296ef5608

11122202120 has 32 divisors (see below), whose sum is σ = 25053439320. Its totient is φ = 4443816960.

The previous prime is 11122202051. The next prime is 11122202123. The reversal of 11122202120 is 2120222111.

11122202120 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 6584024164 + 4538177956 = 81142^2 + 67366^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11122202095 and 11122202104.

It is not an unprimeable number, because it can be changed into a prime (11122202123) 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, 122567 + ... + 193046.

Almost surely, 211122202120 is an apocalyptic number.

11122202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122202120 is an abundant number, since it is smaller than the sum of its proper divisors (13931237200).

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

11122202120 is a wasteful number, since it uses less digits than its factorization.

11122202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316505 (or 316501 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11122202120 its reverse (2120222111), we get a palindrome (13242424231).

The spelling of 11122202120 in words is "eleven billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 881 1762 3524 4405 7048 8810 17620 35240 315613 631226 1262452 1578065 2524904 3156130 6312260 12624520 278055053 556110106 1112220212 1390275265 2224440424 2780550530 5561101060 11122202120