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100302132221 is a prime number
BaseRepresentation
bin101110101101001111…
…0010001001111111101
3100120220020011020201222
41131122132101033331
53120404321212341
6114024514443125
710150403025314
oct1353236211775
9316806136658
10100302132221
11395a0a36555
1217532b934a5
1395c62a5bc5
144bd722b27b
152920a1a44b
hex175a7913fd

100302132221 has 2 divisors, whose sum is σ = 100302132222. Its totient is φ = 100302132220.

The previous prime is 100302132209. The next prime is 100302132241. The reversal of 100302132221 is 122231203001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81068325625 + 19233806596 = 284725^2 + 138686^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100302132221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100302132221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100302132241) 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 as a sum of consecutive naturals, namely, 50151066110 + 50151066111.

It is an arithmetic number, because the mean of its divisors is an integer number (50151066111).

Almost surely, 2100302132221 is an apocalyptic number.

It is an amenable number.

100302132221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100302132221 is an equidigital number, since it uses as much as digits as its factorization.

100302132221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100302132221 its reverse (122231203001), we get a palindrome (222533335222).

The spelling of 100302132221 in words is "one hundred billion, three hundred two million, one hundred thirty-two thousand, two hundred twenty-one".