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201122200220 = 225173135933187
BaseRepresentation
bin1011101101001111010…
…0010011101010011100
3201020010112220100210112
42323103310103222130
511243344240401340
6232221054425152
720346665331524
oct2732364235234
9636115810715
10201122200220
11783282698a7
1232b8b5021b8
1315c72973886
149a3d15c684
155371c43065
hex2ed3d13a9c

201122200220 has 96 divisors (see below), whose sum is σ = 449527434048. Its totient is φ = 75323768832.

The previous prime is 201122200219. The next prime is 201122200229. The reversal of 201122200220 is 22002221102.

It is a junction number, because it is equal to n+sod(n) for n = 201122200195 and 201122200204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122200229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63105467 + ... + 63108653.

It is an arithmetic number, because the mean of its divisors is an integer number (4682577438).

Almost surely, 2201122200220 is an apocalyptic number.

201122200220 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 201122200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224763717024).

201122200220 is an abundant number, since it is smaller than the sum of its proper divisors (248405233828).

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

201122200220 is a wasteful number, since it uses less digits than its factorization.

201122200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 201122200220 its reverse (22002221102), we get a palindrome (223124421322).

The spelling of 201122200220 in words is "two hundred one billion, one hundred twenty-two million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 313 340 593 626 1186 1252 1565 2372 2965 3130 3187 5321 5930 6260 6374 10081 10642 11860 12748 15935 20162 21284 26605 31870 40324 50405 53210 54179 63740 100810 106420 108358 185609 201620 216716 270895 371218 541790 742436 928045 997531 1083580 1856090 1889891 1995062 3155353 3712180 3779782 3990124 4987655 6310706 7559564 9449455 9975310 12621412 15776765 16958027 18898910 19950620 31553530 32128147 33916054 37797820 63107060 64256294 67832108 84790135 128512588 160640735 169580270 321281470 339160540 591535883 642562940 1183071766 2366143532 2957679415 5915358830 10056110011 11830717660 20112220022 40224440044 50280550055 100561100110 201122200220