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200001000100049 is a prime number
BaseRepresentation
bin101101011110011001011100…
…100100001101000011010001
3222020010220112120111101220222
4231132121130210031003101
5202203304022011200144
61545211105133042425
760061411141113221
oct5536313444150321
9866126476441828
10200001000100049
11587a9a475a5315
121a52164a326415
13877a023532765
14375615879a081
15181c741c902ee
hexb5e65c90d0d1

200001000100049 has 2 divisors, whose sum is σ = 200001000100050. Its totient is φ = 200001000100048.

The previous prime is 200001000100043. The next prime is 200001000100103. The reversal of 200001000100049 is 940001000100002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 192631637472400 + 7369362627649 = 13879180^2 + 2714657^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200001000100049 is a prime.

It is not a weakly prime, because it can be changed into another prime (200001000100043) 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, 100000500050024 + 100000500050025.

It is an arithmetic number, because the mean of its divisors is an integer number (100000500050025).

Almost surely, 2200001000100049 is an apocalyptic number.

It is an amenable number.

200001000100049 is a deficient number, since it is larger than the sum of its proper divisors (1).

200001000100049 is an equidigital number, since it uses as much as digits as its factorization.

200001000100049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 200001000100049 in words is "two hundred trillion, one billion, one hundred thousand, forty-nine".