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1000100001 = 3941935393
BaseRepresentation
bin111011100111000…
…101000010100001
32120200212100021210
4323213011002201
54022011200001
6243123340333
733532465305
oct7347050241
92520770253
101000100001
11473591a2a
1223ab216a9
1312c273864
1496b75d05
155cc00dd6
hex3b9c50a1

1000100001 has 8 divisors (see below), whose sum is σ = 1333645920. Its totient is φ = 666643712.

The previous prime is 1000099999. The next prime is 1000100009. The reversal of 1000100001 is 1000010001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000100001 - 21 = 1000099999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1000100009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10561 + ... + 45953.

It is an arithmetic number, because the mean of its divisors is an integer number (166705740).

Almost surely, 21000100001 is an apocalyptic number.

It is an amenable number.

1000100001 is a deficient number, since it is larger than the sum of its proper divisors (333545919).

1000100001 is an equidigital number, since it uses as much as digits as its factorization.

1000100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44815.

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 1000100001 is about 31624.3577167980. The cubic root of 1000100001 is about 1000.0333325556.

Adding to 1000100001 its reverse (1000010001), we get a palindrome (2000110002).

Subtracting from 1000100001 its reverse (1000010001), we obtain a square (90000 = 3002).

It can be divided in two parts, 100010000 and 1, that added together give a palindrome (100010001).

The spelling of 1000100001 in words is "one billion, one hundred thousand, one".

Divisors: 1 3 9419 28257 35393 106179 333366667 1000100001