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2122241121 = 33711131731149
BaseRepresentation
bin111111001111110…
…1101010001100001
312110220101000112000
41332133231101201
513321243203441
6550330554213
7103406515620
oct17637552141
95426330460
102122241121
11999a4a190
124b2898969
1327a8a73a0
14161bd96b7
15c64ac2b6
hex7e7ed461

2122241121 has 256 divisors, whose sum is σ = 4644864000. Its totient is φ = 920678400.

The previous prime is 2122241117. The next prime is 2122241131. The reversal of 2122241121 is 1211422212.

2122241121 is a `hidden beast` number, since 212 + 22 + 411 + 21 = 666.

It is not a de Polignac number, because 2122241121 - 22 = 2122241117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122241094 and 2122241103.

It is not an unprimeable number, because it can be changed into a prime (2122241101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14243155 + ... + 14243303.

It is an arithmetic number, because the mean of its divisors is an integer number (18144000).

Almost surely, 22122241121 is an apocalyptic number.

2122241121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2122241121 is an abundant number, since it is smaller than the sum of its proper divisors (2522622879).

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

2122241121 is a wasteful number, since it uses less digits than its factorization.

2122241121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 2122241121 is about 46067.7883232959. The cubic root of 2122241121 is about 1285.0841736057.

Adding to 2122241121 its reverse (1211422212), we get a palindrome (3333663333).

The spelling of 2122241121 in words is "two billion, one hundred twenty-two million, two hundred forty-one thousand, one hundred twenty-one".