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10206644502337 is a prime number
BaseRepresentation
bin1001010010000110101101…
…1010110111111101000001
31100010202010121022121222221
42110201223122313331001
52314211201443033322
633412511233531041
72102256110545243
oct224415332677501
940122117277887
1010206644502337
11328568280a168
12118a148713a81
13590636c20c8a
1427400b86c093
1512a7718ad9c7
hex9486b6b7f41

10206644502337 has 2 divisors, whose sum is σ = 10206644502338. Its totient is φ = 10206644502336.

The previous prime is 10206644502323. The next prime is 10206644502359. The reversal of 10206644502337 is 73320544660201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9817637822721 + 389006679616 = 3133311^2 + 623704^2 .

It is a cyclic number.

It is not a de Polignac number, because 10206644502337 - 211 = 10206644500289 is a prime.

It is a super-2 number, since 2×102066445023372 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10206644502293 and 10206644502302.

It is not a weakly prime, because it can be changed into another prime (10206644502437) 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, 5103322251168 + 5103322251169.

It is an arithmetic number, because the mean of its divisors is an integer number (5103322251169).

Almost surely, 210206644502337 is an apocalyptic number.

It is an amenable number.

10206644502337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10206644502337 is an equidigital number, since it uses as much as digits as its factorization.

10206644502337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 10206644502337 in words is "ten trillion, two hundred six billion, six hundred forty-four million, five hundred two thousand, three hundred thirty-seven".