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100101100001 = 7291068746141
BaseRepresentation
bin101110100111001111…
…1011001000111100001
3100120101012212202101012
41131032133121013201
53120001340200001
6113552533550305
710142412211460
oct1351637310741
9316335782335
10100101100001
11394a8509021
12174977a5395
139593749b26
144bb865a9d7
15290d05a2bb
hex174e7d91e1

100101100001 has 16 divisors (see below), whose sum is σ = 118359767040. Its totient is φ = 82832742720.

The previous prime is 100101099911. The next prime is 100101100003. The reversal of 100101100001 is 100001101001.

Adding to 100101100001 its reverse (100001101001), we get a palindrome (200102201002).

It is not a de Polignac number, because 100101100001 - 234 = 82921230817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100101100003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146391 + ... + 2192531.

It is an arithmetic number, because the mean of its divisors is an integer number (7397485440).

Almost surely, 2100101100001 is an apocalyptic number.

It is an amenable number.

100101100001 is a deficient number, since it is larger than the sum of its proper divisors (18258667039).

100101100001 is a wasteful number, since it uses less digits than its factorization.

100101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56864.

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

The spelling of 100101100001 in words is "one hundred billion, one hundred one million, one hundred thousand, one".

Divisors: 1 7 29 203 10687 46141 74809 309923 322987 1338089 2169461 9366623 493108867 3451762069 14300157143 100101100001