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1000002000001 = 101299012
BaseRepresentation
bin11101000110101001100…
…00111001010010000001
310112121011212012000222011
432203110300321102001
5112341001003000001
62043221121212521
7132150660515644
oct16432460712201
93477155160864
101000002000001
1135610a071594
12141982791141
13733b8818c84
1436586807a5b
151b02ba0dd51
hexe8d4c39481

1000002000001 has 9 divisors (see below), whose sum is σ = 1010103060009. Its totient is φ = 990000990000.

The previous prime is 1000001999917. The next prime is 1000002000007.

The square root of 1000002000001 is 1000001.

It is a perfect power (a square), and thus also a powerful number.

1000002000001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 847870798401 + 152131201600 = 920799^2 + 390040^2 .

It is not a de Polignac number, because 1000002000001 - 27 = 1000001999873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000002000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100995151 + ... + 101005051.

Almost surely, 21000002000001 is an apocalyptic number.

1000002000001 is the 1000001-st square number.

1000002000001 is the 500001-st centered octagonal number.

It is an amenable number.

1000002000001 is a deficient number, since it is larger than the sum of its proper divisors (10101060008).

1000002000001 is an frugal number, since it uses more digits than its factorization.

1000002000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20004 (or 10002 counting only the distinct ones).

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

The spelling of 1000002000001 in words is "one trillion, two million, one", and thus it is an aban number and an uban number.

Divisors: 1 101 9901 10201 1000001 98029801 101000101 9901009901 1000002000001