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20414342133 = 3234924172689
BaseRepresentation
bin10011000000110010…
…100010001111110101
31221200201012000210200
4103000302202033311
5313302032422013
613213410111113
71321613021313
oct230062421765
957621160720
1020414342133
118726400439
123b5887b499
131c0449b2b3
14db93410b3
157e7313e73
hex4c0ca23f5

20414342133 has 24 divisors (see below), whose sum is σ = 29595111000. Its totient is φ = 13559906304.

The previous prime is 20414342119. The next prime is 20414342161. The reversal of 20414342133 is 33124341402.

20414342133 is a `hidden beast` number, since 2 + 0 + 414 + 34 + 213 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5192211249 + 15222130884 = 72057^2 + 123378^2 .

It is not a de Polignac number, because 20414342133 - 217 = 20414211061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20414342097 and 20414342106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414342173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7590453 + ... + 7593141.

It is an arithmetic number, because the mean of its divisors is an integer number (1233129625).

Almost surely, 220414342133 is an apocalyptic number.

It is an amenable number.

20414342133 is a deficient number, since it is larger than the sum of its proper divisors (9180768867).

20414342133 is a wasteful number, since it uses less digits than its factorization.

20414342133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20414342133 its reverse (33124341402), we get a palindrome (53538683535).

The spelling of 20414342133 in words is "twenty billion, four hundred fourteen million, three hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 349 1047 2417 2689 3141 7251 8067 21753 24201 843533 938461 2530599 2815383 6499313 7591797 8446149 19497939 58493817 2268260237 6804780711 20414342133