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2122141041 = 32534448933
BaseRepresentation
bin111111001111101…
…0100110101110001
312110220011221020100
41332133110311301
513321232003131
6550324503013
7103405621056
oct17637246561
95426157210
102122141041
11999990a79
124b284aa69
1327a870977
14161bb102d
15c648c7e6
hex7e7d4d71

2122141041 has 12 divisors (see below), whose sum is σ = 3123151668. Its totient is φ = 1388066784.

The previous prime is 2122140983. The next prime is 2122141057. The reversal of 2122141041 is 1401412212.

2122141041 is a `hidden beast` number, since 212 + 2 + 1 + 410 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1546141041 + 576000000 = 39321^2 + 24000^2 .

It is not a de Polignac number, because 2122141041 - 218 = 2121878897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2122145041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2223990 + ... + 2224943.

It is an arithmetic number, because the mean of its divisors is an integer number (260262639).

Almost surely, 22122141041 is an apocalyptic number.

It is an amenable number.

2122141041 is a deficient number, since it is larger than the sum of its proper divisors (1001010627).

2122141041 is a wasteful number, since it uses less digits than its factorization.

2122141041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448992 (or 4448989 counting only the distinct ones).

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

The square root of 2122141041 is about 46066.7020851287. The cubic root of 2122141041 is about 1285.0639727522.

Adding to 2122141041 its reverse (1401412212), we get a palindrome (3523553253).

The spelling of 2122141041 in words is "two billion, one hundred twenty-two million, one hundred forty-one thousand, forty-one".

Divisors: 1 3 9 53 159 477 4448933 13346799 40040397 235793449 707380347 2122141041