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20414421424131 = 3719117774344397
BaseRepresentation
bin1001010010001000110100…
…10101100101100000000011
32200021121012010111010110020
410221010122111211200003
510133432213341033011
6111230131123304523
74204615252013130
oct451043225454003
980247163433406
1020414421424131
116560786766879
12235855051b143
13b510c1633c27
145080c5877587
1525605c8a9006
hex12911a565803

20414421424131 has 32 divisors (see below), whose sum is σ = 32747724572160. Its totient is φ = 11050475175936.

The previous prime is 20414421424057. The next prime is 20414421424193. The reversal of 20414421424131 is 13142412441402.

It is not a de Polignac number, because 20414421424131 - 214 = 20414421407747 is a prime.

It is a super-2 number, since 2×204144214241312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20414421424092 and 20414421424101.

It is not an unprimeable number, because it can be changed into a prime (20414421424231) 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 31 ways as a sum of consecutive naturals, for example, 2526825 + ... + 6871221.

It is an arithmetic number, because the mean of its divisors is an integer number (1023366392880).

Almost surely, 220414421424131 is an apocalyptic number.

20414421424131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20414421424131 is a deficient number, since it is larger than the sum of its proper divisors (12333303148029).

20414421424131 is a wasteful number, since it uses less digits than its factorization.

20414421424131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356203.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 20414421424131 its reverse (13142412441402), we get a palindrome (33556833865533).

The spelling of 20414421424131 in words is "twenty trillion, four hundred fourteen billion, four hundred twenty-one million, four hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 399 11777 35331 82439 223763 247317 671289 1566341 4344397 4699023 13033191 30410779 82543543 91232337 247630629 577804801 1733414403 51163963469 153491890407 358147744283 972115305911 1074443232849 2916345917733 6804807141377 20414421424131