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201022210220 = 225138350918301
BaseRepresentation
bin1011101100110111011…
…0111000000010101100
3201012212120202100022012
42323031312320002230
511243143141211340
6232203123340352
720344342410506
oct2731566700254
9635776670265
10201022210220
1178286884937
1232b61b216b8
1315c580347b0
149a2db70d76
155368091565
hex2ecddb80ac

201022210220 has 96 divisors (see below), whose sum is σ = 461025915840. Its totient is φ = 73181260800.

The previous prime is 201022210219. The next prime is 201022210229. The reversal of 201022210220 is 22012220102.

It is a junction number, because it is equal to n+sod(n) for n = 201022210195 and 201022210204.

It is not an unprimeable number, because it can be changed into a prime (201022210229) 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, 10975070 + ... + 10993370.

It is an arithmetic number, because the mean of its divisors is an integer number (4802353290).

Almost surely, 2201022210220 is an apocalyptic number.

201022210220 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 201022210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230512957920).

201022210220 is an abundant number, since it is smaller than the sum of its proper divisors (260003705620).

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

201022210220 is a wasteful number, since it uses less digits than its factorization.

201022210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18915 (or 18913 counting only the distinct ones).

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

Adding to 201022210220 its reverse (22012220102), we get a palindrome (223034430322).

It can be divided in two parts, 20102 and 2210220, that added together give a palindrome (2230322).

The spelling of 201022210220 in words is "two hundred one billion, twenty-two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 260 332 415 509 830 1018 1079 1660 2036 2158 2545 4316 5090 5395 6617 10180 10790 13234 18301 21580 26468 33085 36602 42247 66170 73204 84494 91505 132340 168988 183010 211235 237913 366020 422470 475826 549211 844940 951652 1098422 1189565 1518983 2196844 2379130 2746055 3037966 4758260 5492110 6075932 7594915 9315209 10984220 15189830 18630418 19746779 30379660 37260836 39493558 46576045 78987116 93152090 98733895 121097717 186304180 197467790 242195434 394935580 484390868 605488585 773162347 1210977170 1546324694 2421954340 3092649388 3865811735 7731623470 10051110511 15463246940 20102221022 40204442044 50255552555 100511105110 201022210220