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102414005101 is a prime number
BaseRepresentation
bin101111101100001011…
…0011011001101101101
3100210100102000111201001
41133120112123031231
53134220441130401
6115014235320301
710253625452152
oct1373026331555
9323312014631
10102414005101
113a485043941
1217a222b0091
13987198cc25
144d578c8229
1529e612a601
hex17d859b36d

102414005101 has 2 divisors, whose sum is σ = 102414005102. Its totient is φ = 102414005100.

The previous prime is 102414005059. The next prime is 102414005117. The reversal of 102414005101 is 101500414201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90752165001 + 11661840100 = 301251^2 + 107990^2 .

It is a cyclic number.

It is not a de Polignac number, because 102414005101 - 223 = 102405616493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102414005401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51207002550 + 51207002551.

It is an arithmetic number, because the mean of its divisors is an integer number (51207002551).

Almost surely, 2102414005101 is an apocalyptic number.

It is an amenable number.

102414005101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102414005101 is an equidigital number, since it uses as much as digits as its factorization.

102414005101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 102414005101 its reverse (101500414201), we get a palindrome (203914419302).

The spelling of 102414005101 in words is "one hundred two billion, four hundred fourteen million, five thousand, one hundred one".