Search a number
-
+
200112740742420 = 2233511383479918329
BaseRepresentation
bin101101100000000001100000…
…110100111011010100010100
3222020112120221222020011202000
4231200001200310323110110
5202212121343112224140
61545334305102515300
760102445156650612
oct5540014064732424
9866476858204660
10200112740742420
1158842378247840
121a53b233b95b30
138787720538c5c
14375b718c046b2
1518205d1ab8a30
hexb60060d3b514

200112740742420 has 384 divisors, whose sum is σ = 681122856960000. Its totient is φ = 48372794219520.

The previous prime is 200112740742407. The next prime is 200112740742437. The reversal of 200112740742420 is 24247047211002.

200112740742420 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 1 + 2 + 7 + 407 + 4 + 242 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10917811816 + ... + 10917830144.

It is an arithmetic number, because the mean of its divisors is an integer number (1773757440000).

Almost surely, 2200112740742420 is an apocalyptic number.

200112740742420 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 200112740742420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340561428480000).

200112740742420 is an abundant number, since it is smaller than the sum of its proper divisors (481010116217580).

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

200112740742420 is a wasteful number, since it uses less digits than its factorization.

200112740742420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23540 (or 23532 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

Adding to 200112740742420 its reverse (24247047211002), we get a palindrome (224359787953422).

The spelling of 200112740742420 in words is "two hundred trillion, one hundred twelve billion, seven hundred forty million, seven hundred forty-two thousand, four hundred twenty".