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11201101220001 = 372118383458891
BaseRepresentation
bin1010001011111111010110…
…1010001100100010100001
31110122211000000002010122210
42202333311222030202201
52432004323403020001
635453414224352333
72234152505304300
oct242776552144241
943584000063583
1011201101220001
1136293a6698a90
12130aa221756a9
1363334a9302a4
142aa1c99d2437
15146576655dd6
hexa2ff5a8c8a1

11201101220001 has 48 divisors (see below), whose sum is σ = 19180856395008. Its totient is φ = 5748648343200.

The previous prime is 11201101219993. The next prime is 11201101220011. The reversal of 11201101220001 is 10002210110211.

11201101220001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11201101220001 - 23 = 11201101219993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11201101220011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41595235 + ... + 41863656.

It is an arithmetic number, because the mean of its divisors is an integer number (399601174896).

Almost surely, 211201101220001 is an apocalyptic number.

11201101220001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11201101220001 is a deficient number, since it is larger than the sum of its proper divisors (7979755175007).

11201101220001 is a wasteful number, since it uses less digits than its factorization.

11201101220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83459002 (or 83458995 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11201101220001 its reverse (10002210110211), we get a palindrome (21203311330212).

The spelling of 11201101220001 in words is "eleven trillion, two hundred one billion, one hundred one million, two hundred twenty thousand, one".

Divisors: 1 3 7 11 21 33 49 77 83 147 231 249 539 581 913 1617 1743 2739 4067 6391 12201 19173 44737 134211 83458891 250376673 584212237 918047801 1752636711 2754143403 4089485659 6426334607 6927087953 12268456977 19279003821 20781263859 44984342249 48489615671 76197967483 134953026747 145468847013 228593902449 339427309697 533385772381 1018281929091 1600157317143 3733700406667 11201101220001