Search a number
-
+
2122040041 = 11217537521
BaseRepresentation
bin111111001111011…
…1100001011101001
312110212222210200121
41332132330023221
513321220240131
6550322403241
7103405020442
oct17636741351
95425883617
102122040041
11999922100
124b2800521
1327a8369c4
14161b862c9
15c646c911
hex7e7bc2e9

2122040041 has 6 divisors (see below), whose sum is σ = 2332490426. Its totient is φ = 1929127200.

The previous prime is 2122040029. The next prime is 2122040051. The reversal of 2122040041 is 1400402212.

It can be written as a sum of positive squares in only one way, i.e., 1798184025 + 323856016 = 42405^2 + 17996^2 .

It is not a de Polignac number, because 2122040041 - 25 = 2122040009 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 2122039997 and 2122040024.

It is not an unprimeable number, because it can be changed into a prime (2122040051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8768640 + ... + 8768881.

Almost surely, 22122040041 is an apocalyptic number.

It is an amenable number.

2122040041 is a deficient number, since it is larger than the sum of its proper divisors (210450385).

2122040041 is a wasteful number, since it uses less digits than its factorization.

2122040041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17537543 (or 17537532 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2122040041 is about 46065.6058355906. The cubic root of 2122040041 is about 1285.0435855555.

Adding to 2122040041 its reverse (1400402212), we get a palindrome (3522442253).

The spelling of 2122040041 in words is "two billion, one hundred twenty-two million, forty thousand, forty-one".

Divisors: 1 11 121 17537521 192912731 2122040041