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102378879041 is a prime number
BaseRepresentation
bin101111101011001000…
…0011011100001000001
3100210020221220220210212
41133112100123201001
53134132443112131
6115010542403505
710253021053625
oct1372620334101
9323227826725
10102378879041
113a46723213a
1217a12590595
13986761198a
144d52d83185
1529e2edca2b
hex17d641b841

102378879041 has 2 divisors, whose sum is σ = 102378879042. Its totient is φ = 102378879040.

The previous prime is 102378879023. The next prime is 102378879061. The reversal of 102378879041 is 140978873201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73443168016 + 28935711025 = 271004^2 + 170105^2 .

It is a cyclic number.

It is not a de Polignac number, because 102378879041 - 226 = 102311770177 is a prime.

It is not a weakly prime, because it can be changed into another prime (102378879011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51189439520 + 51189439521.

It is an arithmetic number, because the mean of its divisors is an integer number (51189439521).

Almost surely, 2102378879041 is an apocalyptic number.

It is an amenable number.

102378879041 is a deficient number, since it is larger than the sum of its proper divisors (1).

102378879041 is an equidigital number, since it uses as much as digits as its factorization.

102378879041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 677376, while the sum is 50.

The spelling of 102378879041 in words is "one hundred two billion, three hundred seventy-eight million, eight hundred seventy-nine thousand, forty-one".