Search a number
-
+
20201022022200 = 23352411037972619
BaseRepresentation
bin1001001011111011010101…
…01111011110001000111000
32122112012100221212022001020
410211331222233132020320
510121433143114202300
6110544115453422440
74153322105020305
oct445755257361070
978465327768036
1020201022022200
116489229323688
12232311549aa20
13b36c43280a76
144dba3dd800ac
1525071cddb8a0
hex125f6abde238

20201022022200 has 192 divisors, whose sum is σ = 64773391737600. Its totient is φ = 5204525030400.

The previous prime is 20201022022189. The next prime is 20201022022229. The reversal of 20201022022200 is 222022010202.

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 20201022022200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1452510 + ... + 6520109.

It is an arithmetic number, because the mean of its divisors is an integer number (337361415300).

Almost surely, 220201022022200 is an apocalyptic number.

20201022022200 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 20201022022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32386695868800).

20201022022200 is an abundant number, since it is smaller than the sum of its proper divisors (44572369715400).

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

20201022022200 is a wasteful number, since it uses less digits than its factorization.

20201022022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972782 (or 7972773 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20201022022200 its reverse (222022010202), we get a palindrome (20423044032402).

The spelling of 20201022022200 in words is "twenty trillion, two hundred one billion, twenty-two million, twenty-two thousand, two hundred".