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102213131093 is a prime number
BaseRepresentation
bin101111100110001100…
…0001001101101010101
3100202211102001001100222
41133030120021231111
53133313030143333
6114542302044125
710245636164513
oct1371430115525
9322742031328
10102213131093
113a391714267
1217986b79645
13983c18ab78
144d38d594b3
1529d369c298
hex17cc609b55

102213131093 has 2 divisors, whose sum is σ = 102213131094. Its totient is φ = 102213131092.

The previous prime is 102213131051. The next prime is 102213131203. The reversal of 102213131093 is 390131312201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86858699524 + 15354431569 = 294718^2 + 123913^2 .

It is a cyclic number.

It is not a de Polignac number, because 102213131093 - 28 = 102213130837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102213131003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106565546 + 51106565547.

It is an arithmetic number, because the mean of its divisors is an integer number (51106565547).

Almost surely, 2102213131093 is an apocalyptic number.

It is an amenable number.

102213131093 is a deficient number, since it is larger than the sum of its proper divisors (1).

102213131093 is an equidigital number, since it uses as much as digits as its factorization.

102213131093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 102213131093 its reverse (390131312201), we get a palindrome (492344443294).

The spelling of 102213131093 in words is "one hundred two billion, two hundred thirteen million, one hundred thirty-one thousand, ninety-three".