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11314422210 = 23571329241593
BaseRepresentation
bin10101000100110010…
…00110000111000010
31002012112002012102110
422202121012013002
5141132443002320
65110415200150
7550245000450
oct124231060702
932175065373
1011314422210
114886772963
122239216056
1310b4104ab0
147949599d0
1546349b5e0
hex2a26461c2

11314422210 has 256 divisors, whose sum is σ = 34775516160. Its totient is φ = 2291466240.

The previous prime is 11314422209. The next prime is 11314422221. The reversal of 11314422210 is 1222441311.

11314422210 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113144222102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19079674 + ... + 19080266.

It is an arithmetic number, because the mean of its divisors is an integer number (135841860).

Almost surely, 211314422210 is an apocalyptic number.

11314422210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11314422210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17387758080).

11314422210 is an abundant number, since it is smaller than the sum of its proper divisors (23461093950).

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

11314422210 is a wasteful number, since it uses less digits than its factorization.

11314422210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11314422210 its reverse (1222441311), we get a palindrome (12536863521).

The spelling of 11314422210 in words is "eleven billion, three hundred fourteen million, four hundred twenty-two thousand, two hundred ten".