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10001002309 is a prime number
BaseRepresentation
bin10010101000001101…
…10010111101000101
3221210222122120000221
421110012302331011
5130440224033214
64332220104341
7502556055064
oct112406627505
927728576027
1010001002309
11427233a071
121b313950b1
13c34c7b75c
146ac3441db
153d8009e24
hex2541b2f45

10001002309 has 2 divisors, whose sum is σ = 10001002310. Its totient is φ = 10001002308.

The previous prime is 10001002229. The next prime is 10001002327. The reversal of 10001002309 is 90320010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9816450084 + 184552225 = 99078^2 + 13585^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001002309 - 29 = 10001001797 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001002292 and 10001002301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001002009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000501154 + 5000501155.

It is an arithmetic number, because the mean of its divisors is an integer number (5000501155).

Almost surely, 210001002309 is an apocalyptic number.

It is an amenable number.

10001002309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001002309 is an equidigital number, since it uses as much as digits as its factorization.

10001002309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

The spelling of 10001002309 in words is "ten billion, one million, two thousand, three hundred nine".