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2041111121 = 721012291801
BaseRepresentation
bin111100110101000…
…1110001001010001
312021020201012002012
41321222032021101
513140011023441
6534312032305
7101403105200
oct17152161121
95236635065
102041111121
11958176aa5
1248b692695
13266b3c87a
1415511b237
15be2d39eb
hex79a8e251

2041111121 has 24 divisors (see below), whose sum is σ = 2409670440. Its totient is φ = 1723680000.

The previous prime is 2041111109. The next prime is 2041111141. The reversal of 2041111121 is 1211111402.

It can be written as a sum of positive squares in 4 ways, for example, as 922944400 + 1118166721 = 30380^2 + 33439^2 .

It is not a de Polignac number, because 2041111121 - 230 = 967369297 is a prime.

It is a super-2 number, since 2×20411111212 = 8332269216539753282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2041111096 and 2041111105.

It is not an unprimeable number, because it can be changed into a prime (2041111141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1132421 + ... + 1134221.

It is an arithmetic number, because the mean of its divisors is an integer number (100402935).

Almost surely, 22041111121 is an apocalyptic number.

It is an amenable number.

2041111121 is a deficient number, since it is larger than the sum of its proper divisors (368559319).

2041111121 is a wasteful number, since it uses less digits than its factorization.

2041111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 2041111121 is about 45178.6578043217. The cubic root of 2041111121 is about 1268.4953600740.

Adding to 2041111121 its reverse (1211111402), we get a palindrome (3252222523).

The spelling of 2041111121 in words is "two billion, forty-one million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 7 49 101 229 707 1603 1801 4949 11221 12607 23129 88249 161903 181901 412429 1133321 1273307 2887003 8913149 20209021 41655329 291587303 2041111121