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102432043131 = 3112476003871
BaseRepresentation
bin101111101100101101…
…1001111000001111011
3100210101122221221020020
41133121123033001323
53134240100340011
6115020122101523
710254235000155
oct1373133170173
9323348857206
10102432043131
113a494244100
1217a2834a8a3
139875637312
144d5a061ad5
1529e79e0006
hex17d96cf07b

102432043131 has 24 divisors (see below), whose sum is σ = 153314875392. Its totient is φ = 60759164400.

The previous prime is 102432043123. The next prime is 102432043159. The reversal of 102432043131 is 131340234201.

It is a happy number.

It is not a de Polignac number, because 102432043131 - 23 = 102432043123 is a prime.

It is a super-2 number, since 2×1024320431312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102432043111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2984875 + ... + 3018996.

It is an arithmetic number, because the mean of its divisors is an integer number (6388119808).

Almost surely, 2102432043131 is an apocalyptic number.

102432043131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102432043131 is a deficient number, since it is larger than the sum of its proper divisors (50882832261).

102432043131 is a wasteful number, since it uses less digits than its factorization.

102432043131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6003943 (or 6003932 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102432043131 its reverse (131340234201), we get a palindrome (233772277332).

The spelling of 102432043131 in words is "one hundred two billion, four hundred thirty-two million, forty-three thousand, one hundred thirty-one".

Divisors: 1 3 11 33 47 121 141 363 517 1551 5687 17061 6003871 18011613 66042581 198127743 282181937 726468391 846545811 2179405173 3104001307 9312003921 34144014377 102432043131