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11322212011110 = 2325711133711330059
BaseRepresentation
bin1010010011000010100001…
…1011001100110001100110
31111002101121102101210002200
42210300220123030301212
52441000342233323420
640025204041115330
72246000653115610
oct244605033146146
944071542353080
1011322212011110
1136757a5568990
12132a3a1a88b46
136418abca5cb0
142b1dd8685db0
151497b3dc4b90
hexa4c286ccc66

11322212011110 has 768 divisors, whose sum is σ = 40953643960320. Its totient is φ = 2094229831680.

The previous prime is 11322212011069. The next prime is 11322212011111. The reversal of 11322212011110 is 1111021222311.

It is a happy number.

11322212011110 is a `hidden beast` number, since 1 + 132 + 221 + 201 + 1 + 110 = 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 (11322212011111) 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 383 ways as a sum of consecutive naturals, for example, 376651261 + ... + 376681319.

It is an arithmetic number, because the mean of its divisors is an integer number (53325057240).

Almost surely, 211322212011110 is an apocalyptic number.

11322212011110 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 11322212011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20476821980160).

11322212011110 is an abundant number, since it is smaller than the sum of its proper divisors (29631431949210).

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

11322212011110 is a wasteful number, since it uses less digits than its factorization.

11322212011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30253 (or 30250 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11322212011110 its reverse (1111021222311), we get a palindrome (12433233233421).

It can be divided in two parts, 1132221201 and 1110, that added together give a palindrome (1132222311).

The spelling of 11322212011110 in words is "eleven trillion, three hundred twenty-two billion, two hundred twelve million, eleven thousand, one hundred ten".