Search a number
-
+
203113122212 = 22711131014211193
BaseRepresentation
bin1011110100101001111…
…1000100100110100100
3201102021022011200100002
42331022133010212210
511311433424402322
6233150415040432
720450222024030
oct2751237044644
9642238150302
10203113122212
117915a075a80
1233446210118
13161cc28cc20
149b8b7331c0
15543b910c92
hex2f4a7c49a4

203113122212 has 192 divisors, whose sum is σ = 483519794688. Its totient is φ = 72092160000.

The previous prime is 203113122209. The next prime is 203113122217. The reversal of 203113122212 is 212221311302.

203113122212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (203113122217) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 170253488 + ... + 170254680.

It is an arithmetic number, because the mean of its divisors is an integer number (2518332264).

Almost surely, 2203113122212 is an apocalyptic number.

203113122212 is a gapful number since it is divisible by the number (22) 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 203113122212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241759897344).

203113122212 is an abundant number, since it is smaller than the sum of its proper divisors (280406672476).

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

203113122212 is a wasteful number, since it uses less digits than its factorization.

203113122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 203113122212 its reverse (212221311302), we get a palindrome (415334433514).

The spelling of 203113122212 in words is "two hundred three billion, one hundred thirteen million, one hundred twenty-two thousand, two hundred twelve".