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201121210220 = 225761149179883
BaseRepresentation
bin1011101101001111000…
…0100001111101101100
3201020010111001001202212
42323103300201331230
511243344012211340
6232221021305552
720346654036320
oct2732360417554
9636114031685
10201121210220
1178327753017
1232b8b1052b8
1315c726b8088
149a3cd81980
155371ae9a65
hex2ed3c21f6c

201121210220 has 192 divisors, whose sum is σ = 497218176000. Its totient is φ = 66917975040.

The previous prime is 201121210181. The next prime is 201121210243. The reversal of 201121210220 is 22012121102.

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 = 201121210195 and 201121210204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227769899 + ... + 227770781.

It is an arithmetic number, because the mean of its divisors is an integer number (2589678000).

Almost surely, 2201121210220 is an apocalyptic number.

201121210220 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 201121210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248609088000).

201121210220 is an abundant number, since it is smaller than the sum of its proper divisors (296096965780).

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

201121210220 is a wasteful number, since it uses less digits than its factorization.

201121210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1286 counting only the distinct ones).

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

Adding to 201121210220 its reverse (22012121102), we get a palindrome (223133331322).

The spelling of 201121210220 in words is "two hundred one billion, one hundred twenty-one million, two hundred ten thousand, two hundred twenty".