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102442516393 = 731215228559
BaseRepresentation
bin101111101101000001…
…1001011111110101001
3100210102101200000211211
41133122003023332221
53134300241011033
6115021134353121
710254423010360
oct1373203137651
9323371600754
10102442516393
113a49a147898
1217a2b95b7a1
139877863409
144d5b5ca7d7
1529e88ad2cd
hex17da0cbfa9

102442516393 has 12 divisors (see below), whose sum is σ = 120975680640. Its totient is φ = 84975353640.

The previous prime is 102442516387. The next prime is 102442516427. The reversal of 102442516393 is 393615244201.

It is not a de Polignac number, because 102442516393 - 217 = 102442385321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102442516313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7607553 + ... + 7621006.

It is an arithmetic number, because the mean of its divisors is an integer number (10081306720).

Almost surely, 2102442516393 is an apocalyptic number.

It is an amenable number.

102442516393 is a deficient number, since it is larger than the sum of its proper divisors (18533164247).

102442516393 is an equidigital number, since it uses as much as digits as its factorization.

102442516393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15228628 (or 15228597 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 102442516393 in words is "one hundred two billion, four hundred forty-two million, five hundred sixteen thousand, three hundred ninety-three".

Divisors: 1 7 31 217 961 6727 15228559 106599913 472085329 3304597303 14634645199 102442516393