Search a number
-
+
1000210001 = 7232096361
BaseRepresentation
bin111011100111011…
…111111001010001
32120201001221011212
4323213133321101
54022023210001
6243125545505
733533434100
oct7347377121
92521057155
101000210001
1147365763a
1223ab75295
1312c2b194b
1496ba4037
155cc237bb
hex3b9dfe51

1000210001 has 12 divisors (see below), whose sum is σ = 1164055140. Its totient is φ = 856920960.

The previous prime is 1000209983. The next prime is 1000210037. The reversal of 1000210001 is 1000120001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 399960001 + 600250000 = 19999^2 + 24500^2 .

It is a de Polignac number, because none of the positive numbers 2k-1000210001 is a prime.

It is a super-2 number, since 2×10002100012 = 2000840092200840002, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1000210061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154061 + ... + 160421.

It is an arithmetic number, because the mean of its divisors is an integer number (97004595).

Almost surely, 21000210001 is an apocalyptic number.

It is an amenable number.

1000210001 is a deficient number, since it is larger than the sum of its proper divisors (163845139).

1000210001 is an equidigital number, since it uses as much as digits as its factorization.

1000210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9584 (or 9577 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1000210001 is about 31626.0968347344. The cubic root of 1000210001 is about 1000.0699954339.

Adding to 1000210001 its reverse (1000120001), we get a palindrome (2000330002).

Subtracting from 1000210001 its reverse (1000120001), we obtain a square (90000 = 3002).

The spelling of 1000210001 in words is "one billion, two hundred ten thousand, one".

Divisors: 1 7 49 3209 6361 22463 44527 157241 311689 20412449 142887143 1000210001