Search a number
-
+
200211001101144 = 23321117671516412293
BaseRepresentation
bin101101100001011101000001…
…100110011100101101011000
3222020212222120220102120210100
4231201131001212130231120
5202220224112240214034
61545451355243215400
760112524151141635
oct5541350146345530
9866788526376710
10200211001101144
11588800106a4680
121a556297217560
138793a7c7cc957
14376239abc118c
151822e3321e099
hexb6174199cb58

200211001101144 has 768 divisors, whose sum is σ = 641164258575360. Its totient is φ = 55764910080000.

The previous prime is 200211001101143. The next prime is 200211001101151. The reversal of 200211001101144 is 441101100112002.

200211001101144 is a `hidden beast` number, since 200 + 211 + 0 + 0 + 110 + 1 + 144 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200211001101143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87313998462 + ... + 87314000754.

It is an arithmetic number, because the mean of its divisors is an integer number (834849295020).

Almost surely, 2200211001101144 is an apocalyptic number.

200211001101144 is a gapful number since it is divisible by the number (24) 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 200211001101144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320582129287680).

200211001101144 is an abundant number, since it is smaller than the sum of its proper divisors (440953257474216).

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

200211001101144 is a wasteful number, since it uses less digits than its factorization.

200211001101144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 200211001101144 its reverse (441101100112002), we get a palindrome (641312101213146).

The spelling of 200211001101144 in words is "two hundred trillion, two hundred eleven billion, one million, one hundred one thousand, one hundred forty-four".