Search a number
-
+
100100000001 = 3227146989721
BaseRepresentation
bin101110100111001101…
…1001100100100000001
3100120101010210212110110
41131032123030210001
53120001100000001
6113552454221533
710142366650461
oct1351633144401
9316333725413
10100100000001
11394a7927631
12174973548a9
139593453241
144bb8451ba1
15290cdde3d6
hex174e6cc901

100100000001 has 8 divisors (see below), whose sum is σ = 134054626464. Its totient is φ = 66439353440.

The previous prime is 100099999997. The next prime is 100100000003. The reversal of 100100000001 is 100000001001.

Adding to 100100000001 its reverse (100000001001), we get a palindrome (200100001002).

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 100100000001 - 22 = 100099999997 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100100000003) 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, 73494180 + ... + 73495541.

It is an arithmetic number, because the mean of its divisors is an integer number (16756828308).

Almost surely, 2100100000001 is an apocalyptic number.

It is an amenable number.

100100000001 is a deficient number, since it is larger than the sum of its proper divisors (33954626463).

100100000001 is a wasteful number, since it uses less digits than its factorization.

100100000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146989951.

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

The spelling of 100100000001 in words is "one hundred billion, one hundred million, one", and thus it is an aban number.

Divisors: 1 3 227 681 146989721 440969163 33366666667 100100000001