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1000033400209 is a prime number
BaseRepresentation
bin11101000110101101010…
…00101011010110010001
310112121021001021022221211
432203112220223112101
5112341032022301314
62043224202220121
7132151521435514
oct16432650532621
93477231238854
101000033400209
11356125868a78
121419911b4641
13733c219138c
143658aa5cd7b
151b02e6629c4
hexe8d6a2b591

1000033400209 has 2 divisors, whose sum is σ = 1000033400210. Its totient is φ = 1000033400208.

The previous prime is 1000033400153. The next prime is 1000033400231. The reversal of 1000033400209 is 9020043300001.

1000033400209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (1000033400231) can be obtained adding 1000033400209 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 966872990209 + 33160410000 = 983297^2 + 182100^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000033400209 - 29 = 1000033399697 is a prime.

It is a super-2 number, since 2×10000334002092 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1000033400209.

It is not a weakly prime, because it can be changed into another prime (1000033400279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500016700104 + 500016700105.

It is an arithmetic number, because the mean of its divisors is an integer number (500016700105).

Almost surely, 21000033400209 is an apocalyptic number.

It is an amenable number.

1000033400209 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000033400209 is an equidigital number, since it uses as much as digits as its factorization.

1000033400209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

The spelling of 1000033400209 in words is "one trillion, thirty-three million, four hundred thousand, two hundred nine".