Search a number
-
+
201220202112120 = 23325558945005867
BaseRepresentation
bin101101110000001000111010…
…101010110010010001111000
3222101110110111212011210111200
4231300020322222302101320
5202333242433220041440
61551543141255254200
760245452122166602
oct5560107252622170
9871413455153450
10201220202112120
115912a010324274
121a6999a667a360
138837ca3097c89
143799177206172
15183e2ec61ac30
hexb7023aab2478

201220202112120 has 48 divisors (see below), whose sum is σ = 653965656865560. Its totient is φ = 53658720563136.

The previous prime is 201220202112109. The next prime is 201220202112143. The reversal of 201220202112120 is 21211202022102.

It is a happy number.

201220202112120 is a `hidden beast` number, since 2 + 0 + 1 + 220 + 20 + 211 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201220202112093 and 201220202112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279472502574 + ... + 279472503293.

Almost surely, 2201220202112120 is an apocalyptic number.

201220202112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201220202112120 is an abundant number, since it is smaller than the sum of its proper divisors (452745454753440).

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

201220202112120 is a wasteful number, since it uses less digits than its factorization.

201220202112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558945005884 (or 558945005877 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201220202112120 its reverse (21211202022102), we get a palindrome (222431404134222).

The spelling of 201220202112120 in words is "two hundred one trillion, two hundred twenty billion, two hundred two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 558945005867 1117890011734 1676835017601 2235780023468 2794725029335 3353670035202 4471560046936 5030505052803 5589450058670 6707340070404 8384175088005 10061010105606 11178900117340 13414680140808 16768350176010 20122020211212 22357800234680 25152525264015 33536700352020 40244040422424 50305050528030 67073400704040 100610101056060 201220202112120