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10011002009 is a prime number
BaseRepresentation
bin10010101001011001…
…11100010010011001
3221211200110121001012
421110230330102121
5131000304031014
64333214303305
7503040053531
oct112454742231
927750417035
1010011002009
114277a49a88
121b347b7b35
13c37070138
146ad7c84c1
153d8d32c3e
hex254b3c499

10011002009 has 2 divisors, whose sum is σ = 10011002010. Its totient is φ = 10011002008.

The previous prime is 10011001999. The next prime is 10011002039. The reversal of 10011002009 is 90020011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9930720409 + 80281600 = 99653^2 + 8960^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011002009 - 228 = 9742566553 is a prime.

It is a super-2 number, since 2×100110020092 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011001984 and 10011002002.

It is not a weakly prime, because it can be changed into another prime (10011002039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005501004 + 5005501005.

It is an arithmetic number, because the mean of its divisors is an integer number (5005501005).

Almost surely, 210011002009 is an apocalyptic number.

It is an amenable number.

10011002009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011002009 is an equidigital number, since it uses as much as digits as its factorization.

10011002009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 10011002009 in words is "ten billion, eleven million, two thousand, nine".