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2135110041 = 32269388093
BaseRepresentation
bin111111101000011…
…0011000110011001
312111210120211100200
41333100303012121
513333042010131
6551510452413
7103624064421
oct17720630631
95453524320
102135110041
119a6239859
124b7064109
13280461a2c
141637c9481
15c76a02e6
hex7f433199

2135110041 has 12 divisors (see below), whose sum is σ = 3085228068. Its totient is φ = 1422861984.

The previous prime is 2135110001. The next prime is 2135110057. The reversal of 2135110041 is 1400115312.

It can be written as a sum of positive squares in 2 ways, for example, as 334890000 + 1800220041 = 18300^2 + 42429^2 .

It is not a de Polignac number, because 2135110041 - 210 = 2135109017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2135109996 and 2135110023.

It is not an unprimeable number, because it can be changed into a prime (2135110001) 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 11 ways as a sum of consecutive naturals, for example, 19810 + ... + 68283.

It is an arithmetic number, because the mean of its divisors is an integer number (257102339).

Almost surely, 22135110041 is an apocalyptic number.

It is an amenable number.

2135110041 is a deficient number, since it is larger than the sum of its proper divisors (950118027).

2135110041 is a wasteful number, since it uses less digits than its factorization.

2135110041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90792 (or 90789 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2135110041 is about 46207.2509569656. The cubic root of 2135110041 is about 1287.6764537244.

Adding to 2135110041 its reverse (1400115312), we get a palindrome (3535225353).

The spelling of 2135110041 in words is "two billion, one hundred thirty-five million, one hundred ten thousand, forty-one".

Divisors: 1 3 9 2693 8079 24237 88093 264279 792837 237234449 711703347 2135110041