Search a number
-
+
212211233113110 = 23571123128690411
BaseRepresentation
bin110000010000000101000111…
…001010101100010000010110
31000211101012021201002010011120
4300100011013022230100112
5210303332101134104420
62031200254502144410
762461520120220120
oct6020050712542026
91024335251063146
10212211233113110
1161687307836500
121b973b60722106
1391545832a450a
143a59115516210
15198017b6bdd40
hexc101472ac416

212211233113110 has 288 divisors, whose sum is σ = 661094796918528. Its totient is φ = 42673389264000.

The previous prime is 212211233113091. The next prime is 212211233113111. The reversal of 212211233113110 is 11311332112212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211233113111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20073805 + ... + 28764215.

It is an arithmetic number, because the mean of its divisors is an integer number (2295468044856).

Almost surely, 2212211233113110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212211233113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330547398459264).

212211233113110 is an abundant number, since it is smaller than the sum of its proper divisors (448883563805418).

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

212211233113110 is a wasteful number, since it uses less digits than its factorization.

212211233113110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8690512 (or 8690470 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 212211233113110 its reverse (11311332112212), we get a palindrome (223522565225322).

The spelling of 212211233113110 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred thirty-three million, one hundred thirteen thousand, one hundred ten".