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2201111020220 = 2257234001170851
BaseRepresentation
bin100000000001111100011…
…100001100001010111100
321210102110012201012200112
4200001330130030022330
5242030333410121340
64403102040045152
7315011403654050
oct40017434141274
97712405635615
102201111020220
11779538873a12
122b670b7637b8
1312c743ac2258
147876a33bc60
153c3c8c63065
hex2007c70c2bc

2201111020220 has 96 divisors (see below), whose sum is σ = 5513757613056. Its totient is φ = 721670400000.

The previous prime is 2201111020219. The next prime is 2201111020231. The reversal of 2201111020220 is 220201111022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2201111020195 and 2201111020204.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12797795 + ... + 12968645.

It is an arithmetic number, because the mean of its divisors is an integer number (57434975136).

Almost surely, 22201111020220 is an apocalyptic number.

2201111020220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201111020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756878806528).

2201111020220 is an abundant number, since it is smaller than the sum of its proper divisors (3312646592836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2201111020220 is a wasteful number, since it uses less digits than its factorization.

2201111020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174891 (or 174889 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2201111020220 its reverse (220201111022), we get a palindrome (2421312131242).

The spelling of 2201111020220 in words is "two trillion, two hundred one billion, one hundred eleven million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 4001 8002 16004 20005 28007 40010 56014 80020 92023 112028 140035 170851 184046 280070 341702 368092 460115 560140 644161 683404 854255 920230 1195957 1288322 1708510 1840460 2391914 2576644 3220805 3417020 3929573 4783828 5979785 6441610 7859146 11959570 12883220 15718292 19647865 23919140 27507011 39295730 55014022 78591460 110028044 137535055 275070110 550140220 683574851 1367149702 2734299404 3417874255 4785023957 6835748510 9570047914 13671497020 15722221573 19140095828 23925119785 31444443146 47850239570 62888886292 78611107865 95700479140 110055551011 157222215730 220111102022 314444431460 440222204044 550277755055 1100555510110 2201111020220