Search a number
-
+
100009910001 = 365111511997
BaseRepresentation
bin101110100100100001…
…1100001111011110001
3100120010212021211012210
41131021003201323301
53114310014110001
6113535515242333
710140224131431
oct1351103417361
9316125254183
10100009910001
1139460a94691
12174711493a9
13957a89c351
144baa4c02c1
152905045dd6
hex17490e1ef1

100009910001 has 8 divisors (see below), whose sum is σ = 133348855104. Its totient is φ = 66672119120.

The previous prime is 100009909973. The next prime is 100009910027. The reversal of 100009910001 is 100019900001.

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 100009910001 - 214 = 100009893617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100009910001.

It is not an unprimeable number, because it can be changed into a prime (100009910051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60666 + ... + 451331.

It is an arithmetic number, because the mean of its divisors is an integer number (16668606888).

Almost surely, 2100009910001 is an apocalyptic number.

It is an amenable number.

100009910001 is a deficient number, since it is larger than the sum of its proper divisors (33338945103).

100009910001 is an equidigital number, since it uses as much as digits as its factorization.

100009910001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577111.

The product of its (nonzero) digits is 81, while the sum is 21.

The spelling of 100009910001 in words is "one hundred billion, nine million, nine hundred ten thousand, one".

Divisors: 1 3 65111 195333 511997 1535991 33336636667 100009910001