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20430771135 = 351312139571
BaseRepresentation
bin10011000001110001…
…001101001110111111
31221201212002201011020
4103001301031032333
5313320234134020
613215154155223
71322202455265
oct230161151677
957655081136
1020430771135
118734701825
123b62282b13
131c07a011b8
14dbb5ba435
157e89abc40
hex4c1c4d3bf

20430771135 has 48 divisors (see below), whose sum is σ = 33235762560. Its totient is φ = 10716638400.

The previous prime is 20430771133. The next prime is 20430771169. The reversal of 20430771135 is 53117703402.

It is not a de Polignac number, because 20430771135 - 21 = 20430771133 is a prime.

It is a super-3 number, since 3×204307711353 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20430771096 and 20430771105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20430771133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35780400 + ... + 35780970.

It is an arithmetic number, because the mean of its divisors is an integer number (692411720).

Almost surely, 220430771135 is an apocalyptic number.

20430771135 is a deficient number, since it is larger than the sum of its proper divisors (12804991425).

20430771135 is a wasteful number, since it uses less digits than its factorization.

20430771135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The spelling of 20430771135 in words is "twenty billion, four hundred thirty million, seven hundred seventy-one thousand, one hundred thirty-five".

Divisors: 1 3 5 15 131 139 393 417 571 655 695 1713 1965 2085 2855 8565 17161 18209 51483 54627 74801 79369 85805 91045 224403 238107 257415 273135 374005 396845 1122015 1190535 2385379 7156137 9798931 10397339 11926895 29396793 31192017 35780685 48994655 51986695 146983965 155960085 1362051409 4086154227 6810257045 20430771135