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2201022011220 = 2235103918738767
BaseRepresentation
bin100000000001110111001…
…000101001011101010100
321210102020000020002021220
4200001313020221131110
5242030143113324340
64403045140210340
7315006243256434
oct40016710513524
97712200202256
102201022011220
117794a25aa15a
122b66a59999b0
1312c72b5293c6
147875c5ac2c4
153c3c102eed0
hex20077229754

2201022011220 has 96 divisors (see below), whose sum is σ = 6223533109248. Its totient is φ = 581162504832.

The previous prime is 2201022011219. The next prime is 2201022011239. The reversal of 2201022011220 is 221102201022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2201022011220.

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, 56756277 + ... + 56795043.

It is an arithmetic number, because the mean of its divisors is an integer number (64828469888).

Almost surely, 22201022011220 is an apocalyptic number.

2201022011220 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 2201022011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111766554624).

2201022011220 is an abundant number, since it is smaller than the sum of its proper divisors (4022511098028).

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

2201022011220 is a wasteful number, since it uses less digits than its factorization.

2201022011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48069 (or 48067 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2201022011220 its reverse (221102201022), we get a palindrome (2422124212242).

It can be divided in two parts, 220102 and 2011220, that added together give a palindrome (2231322).

The spelling of 2201022011220 in words is "two trillion, two hundred one billion, twenty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6180 9187 18374 27561 36748 38767 45935 55122 77534 91870 110244 116301 137805 155068 183740 193835 232602 275610 387670 465204 551220 581505 775340 946261 1163010 1892522 2326020 2838783 3785044 3993001 4731305 5677566 7986002 9462610 11355132 11979003 14193915 15972004 18925220 19965005 23958006 28387830 39930010 47916012 56775660 59895015 79860020 119790030 239580060 356152429 712304858 1068457287 1424609716 1780762145 2136914574 3561524290 4273829148 5342286435 7123048580 10684572870 21369145740 36683700187 73367400374 110051100561 146734800748 183418500935 220102201122 366837001870 440204402244 550255502805 733674003740 1100511005610 2201022011220