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10206510217 is a prime number
BaseRepresentation
bin10011000000101101…
…01111110010001001
3222100022100102212221
421200112233302021
5131400331311332
64404440534041
7510632622361
oct114026576211
928308312787
1010206510217
114368344212
121b8a181321
13c68713a77
146cb75b9a1
153eb0a1297
hex2605afc89

10206510217 has 2 divisors, whose sum is σ = 10206510218. Its totient is φ = 10206510216.

The previous prime is 10206510211. The next prime is 10206510253. The reversal of 10206510217 is 71201560201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9546071616 + 660438601 = 97704^2 + 25699^2 .

It is a cyclic number.

It is not a de Polignac number, because 10206510217 - 27 = 10206510089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10206510191 and 10206510200.

It is not a weakly prime, because it can be changed into another prime (10206510211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5103255108 + 5103255109.

It is an arithmetic number, because the mean of its divisors is an integer number (5103255109).

Almost surely, 210206510217 is an apocalyptic number.

It is an amenable number.

10206510217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10206510217 is an equidigital number, since it uses as much as digits as its factorization.

10206510217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 25.

The spelling of 10206510217 in words is "ten billion, two hundred six million, five hundred ten thousand, two hundred seventeen".