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5105205235431 = 3274431315913901
BaseRepresentation
bin100101001001010010111…
…1100011100111011100111
3200002001102112022211022100
41022102211330130323213
51132120430020013211
614505144321503143
71034560513336140
oct112224574347347
920061375284270
105105205235431
111699118299024
126a550aaa1ab3
132b055a100872
14139143c50ac7
158cbe8903156
hex4a4a5f1cee7

5105205235431 has 48 divisors (see below), whose sum is σ = 8447913976320. Its totient is φ = 2910244334400.

The previous prime is 5105205235379. The next prime is 5105205235439. The reversal of 5105205235431 is 1345325025015.

5105205235431 is a `hidden beast` number, since 5 + 1 + 0 + 52 + 0 + 523 + 54 + 31 = 666.

It is not a de Polignac number, because 5105205235431 - 215 = 5105205202663 is a prime.

It is a super-2 number, since 2×51052052354312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105205235439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367247581 + ... + 367261481.

It is an arithmetic number, because the mean of its divisors is an integer number (175998207840).

Almost surely, 25105205235431 is an apocalyptic number.

5105205235431 is a deficient number, since it is larger than the sum of its proper divisors (3342708740889).

5105205235431 is a wasteful number, since it uses less digits than its factorization.

5105205235431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27516 (or 27513 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 5105205235431 in words is "five trillion, one hundred five billion, two hundred five million, two hundred thirty-five thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 443 1329 3101 3987 9303 13159 13901 27909 39477 41703 92113 97307 118431 125109 276339 291921 829017 875763 5829437 6158143 17488311 18474429 40806059 43107001 52464933 55423287 122418177 129321003 182923259 367254531 387963009 548769777 1280462813 1646309331 3841388439 11524165317 81035003737 243105011211 567245026159 729315033633 1701735078477 5105205235431