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2114131041 = 321121354859
BaseRepresentation
bin111111000000011…
…0001010001100001
312110100002222120200
41332000301101201
513312204143131
6545441055413
7103250550231
oct17600612141
95410088520
102114131041
1199540aa40
124b0027569
13278cc7b19
14160ac7cc1
15c59092e6
hex7e031461

2114131041 has 12 divisors (see below), whose sum is σ = 3331358160. Its totient is φ = 1281291480.

The previous prime is 2114131031. The next prime is 2114131073. The reversal of 2114131041 is 1401314112.

2114131041 is a `hidden beast` number, since 211 + 413 + 1 + 0 + 41 = 666.

It is not a de Polignac number, because 2114131041 - 223 = 2105742433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2114131031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10677331 + ... + 10677528.

It is an arithmetic number, because the mean of its divisors is an integer number (277613180).

Almost surely, 22114131041 is an apocalyptic number.

It is an amenable number.

2114131041 is a deficient number, since it is larger than the sum of its proper divisors (1217227119).

2114131041 is a wasteful number, since it uses less digits than its factorization.

2114131041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21354876 (or 21354873 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2114131041 is about 45979.6807405184. The cubic root of 2114131041 is about 1283.4451139080.

Adding to 2114131041 its reverse (1401314112), we get a palindrome (3515445153).

The spelling of 2114131041 in words is "two billion, one hundred fourteen million, one hundred thirty-one thousand, forty-one".

Divisors: 1 3 9 11 33 99 21354859 64064577 192193731 234903449 704710347 2114131041