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10100001217 is a prime number
BaseRepresentation
bin10010110100000000…
…11100100111000001
3222001212221020000011
421122000130213001
5131141100014332
64350114024521
7505200410455
oct113200344701
928055836004
1010100001217
114313207449
121b5a578141
13c4c6316a7
146bb554665
153e1a62e47
hex25a01c9c1

10100001217 has 2 divisors, whose sum is σ = 10100001218. Its totient is φ = 10100001216.

The previous prime is 10100001211. The next prime is 10100001227. The reversal of 10100001217 is 71210000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9507030016 + 592971201 = 97504^2 + 24351^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100001217 - 219 = 10099476929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100001197 and 10100001206.

It is not a weakly prime, because it can be changed into another prime (10100001211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000608 + 5050000609.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000609).

Almost surely, 210100001217 is an apocalyptic number.

It is an amenable number.

10100001217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100001217 is an equidigital number, since it uses as much as digits as its factorization.

10100001217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 10100001217 its reverse (71210000101), we get a palindrome (81310001318).

The spelling of 10100001217 in words is "ten billion, one hundred million, one thousand, two hundred seventeen".