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102432041401 = 79240940129
BaseRepresentation
bin101111101100101101…
…1001110100110111001
3100210101122221211212011
41133121123032212321
53134240100311101
6115020122045521
710254234662134
oct1373133164671
9323348854764
10102432041401
113a494242878
1217a283498a1
1398756365b1
144d5a06121b
1529e79de751
hex17d96ce9b9

102432041401 has 12 divisors (see below), whose sum is σ = 104001309300. Its totient is φ = 100885644288.

The previous prime is 102432041321. The next prime is 102432041429. The reversal of 102432041401 is 104140234201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40741404025 + 61690637376 = 201845^2 + 248376^2 .

It is not a de Polignac number, because 102432041401 - 221 = 102429944249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102432041471) 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 11 ways as a sum of consecutive naturals, for example, 2532505 + ... + 2572633.

It is an arithmetic number, because the mean of its divisors is an integer number (8666775775).

Almost surely, 2102432041401 is an apocalyptic number.

It is an amenable number.

102432041401 is a deficient number, since it is larger than the sum of its proper divisors (1569267899).

102432041401 is an frugal number, since it uses more digits than its factorization.

102432041401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40696 (or 40617 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 102432041401 its reverse (104140234201), we get a palindrome (206572275602).

The spelling of 102432041401 in words is "one hundred two billion, four hundred thirty-two million, forty-one thousand, four hundred one".

Divisors: 1 79 409 6241 32311 40129 2552569 3170191 16412761 250445089 1296608119 102432041401