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200000010000001 is a prime number
BaseRepresentation
bin101101011110011000100001…
…100011010001011010000001
3222020010210222120110002222211
4231132120201203101122001
5202203300010030000001
61545210423003502121
760061344456314161
oct5536304143213201
9866123876402884
10200000010000001
11587a9589723512
121a521412827941
138779bc6380743
1437560a30a85a1
15181c6d4db7351
hexb5e6218d1681

200000010000001 has 2 divisors, whose sum is σ = 200000010000002. Its totient is φ = 200000010000000.

The previous prime is 200000009999891. The next prime is 200000010000061. The reversal of 200000010000001 is 100000010000002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180252642672400 + 19747367327601 = 13425820^2 + 4443801^2 .

It is a cyclic number.

It is not a de Polignac number, because 200000010000001 - 243 = 191203916977793 is a prime.

It is a pancake number, because a pancake can be divided into 200000010000001 parts by 20000000 straight cuts.

200000010000001 is a modest number, since divided by 10000001 gives 2 as remainder.

It is not a weakly prime, because it can be changed into another prime (200000010000061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100000005000000 + 100000005000001.

It is an arithmetic number, because the mean of its divisors is an integer number (100000005000001).

Almost surely, 2200000010000001 is an apocalyptic number.

It is an amenable number.

200000010000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

200000010000001 is an equidigital number, since it uses as much as digits as its factorization.

200000010000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 200000010000001 its reverse (100000010000002), we get a palindrome (300000020000003).

Subtracting from 200000010000001 its reverse (100000010000002), we obtain a palindrome (99999999999999).

The spelling of 200000010000001 in words is "two hundred trillion, ten million, one", and thus it is an aban number.