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2130040413 = 32445753101
BaseRepresentation
bin111111011110101…
…1101011001011101
312111110001021010200
41332331131121131
513330242243123
6551210054113
7103533021234
oct17675353135
95443037120
102130040413
119a3396986
124b541a339
1327c3a8357
14162c69b1b
15c6eed143
hex7ef5d65d

2130040413 has 12 divisors (see below), whose sum is σ = 3077473308. Its totient is φ = 1419681600.

The previous prime is 2130040403. The next prime is 2130040439. The reversal of 2130040413 is 3140400312.

2130040413 is a `hidden beast` number, since 213 + 0 + 0 + 40 + 413 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1666843929 + 463196484 = 40827^2 + 21522^2 .

It is not a de Polignac number, because 2130040413 - 24 = 2130040397 is a prime.

It is a super-2 number, since 2×21300404132 = 9074144322026421138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130040403) 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, 13563 + ... + 66663.

It is an arithmetic number, because the mean of its divisors is an integer number (256456109).

Almost surely, 22130040413 is an apocalyptic number.

It is an amenable number.

2130040413 is a deficient number, since it is larger than the sum of its proper divisors (947432895).

2130040413 is a wasteful number, since it uses less digits than its factorization.

2130040413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57564 (or 57561 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2130040413 is about 46152.3608605237. The cubic root of 2130040413 is about 1286.6564884680.

Adding to 2130040413 its reverse (3140400312), we get a palindrome (5270440725).

The spelling of 2130040413 in words is "two billion, one hundred thirty million, forty thousand, four hundred thirteen".

Divisors: 1 3 9 4457 13371 40113 53101 159303 477909 236671157 710013471 2130040413