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10001110001 = 59290958271
BaseRepresentation
bin10010101000001110…
…01101001111110001
3221210222212000202112
421110013031033301
5130440241010001
64332222255105
7502560014051
oct112407151761
927728760675
1010001110001
114272402a73
121b31427495
13c34cb878c
146ac371561
153d802bcbb
hex2541cd3f1

10001110001 has 8 divisors (see below), whose sum is σ = 10174291200. Its totient is φ = 9828051280.

The previous prime is 10001109997. The next prime is 10001110099.

10001110001 is nontrivially palindromic in base 10.

10001110001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10001110001 - 22 = 10001109997 is a prime.

10001110001 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001110901) 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 7 ways as a sum of consecutive naturals, for example, 142496 + ... + 200766.

It is an arithmetic number, because the mean of its divisors is an integer number (1271786400).

Almost surely, 210001110001 is an apocalyptic number.

It is an amenable number.

10001110001 is a deficient number, since it is larger than the sum of its proper divisors (173181199).

10001110001 is an equidigital number, since it uses as much as digits as its factorization.

10001110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61239.

The product of its (nonzero) digits is 1, while the sum is 5.

The spelling of 10001110001 in words is "ten billion, one million, one hundred ten thousand, one".

Divisors: 1 59 2909 58271 171631 3437989 169510339 10001110001