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101101000099 = 11109502316787
BaseRepresentation
bin101111000101000010…
…1101101010110100011
3100122221220100221110011
41132022011231112203
53124023324000344
6114240053145351
710206243215221
oct1361205552643
9318856327404
10101101000099
1139970973840
121771662b257
1396c29506a8
144c7137db11
15296ac1bd34
hex178a16d5a3

101101000099 has 16 divisors (see below), whose sum is σ = 111332643840. Its totient is φ = 91043235360.

The previous prime is 101101000003. The next prime is 101101000127. The reversal of 101101000099 is 990000101101.

It is not a de Polignac number, because 101101000099 - 219 = 101100475811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101101003099) 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 15 ways as a sum of consecutive naturals, for example, 6014184 + ... + 6030970.

It is an arithmetic number, because the mean of its divisors is an integer number (6958290240).

Almost surely, 2101101000099 is an apocalyptic number.

101101000099 is a deficient number, since it is larger than the sum of its proper divisors (10231643741).

101101000099 is a wasteful number, since it uses less digits than its factorization.

101101000099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21930.

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 101101000099 in words is "one hundred one billion, one hundred one million, ninety-nine", and thus it is an aban number.

Divisors: 1 11 109 1199 5023 16787 55253 184657 547507 1829783 6022577 20127613 84321101 927532111 9191000009 101101000099