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11221332332000 = 255371171342239
BaseRepresentation
bin1010001101001010101110…
…0001110000110111100000
31110201202012221111002222012
42203102223201300313200
52432322242034111000
635511001531332052
72235500035025150
oct243225341606740
943652187432865
1011221332332000
113636a3861a95a
1213129295b1028
1363522316638b
142ab188878760
15146d5c824735
hexa34ab870de0

11221332332000 has 192 divisors, whose sum is σ = 31536501534720. Its totient is φ = 3844017216000.

The previous prime is 11221332331987. The next prime is 11221332332027. The reversal of 11221332332000 is 23323312211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32616881 + ... + 32959119.

It is an arithmetic number, because the mean of its divisors is an integer number (164252612160).

Almost surely, 211221332332000 is an apocalyptic number.

11221332332000 is a gapful number since it is divisible by the number (10) 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 11221332332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15768250767360).

11221332332000 is an abundant number, since it is smaller than the sum of its proper divisors (20315169202720).

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

11221332332000 is a wasteful number, since it uses less digits than its factorization.

11221332332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343442 (or 343424 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 11221332332000 its reverse (23323312211), we get a palindrome (11244655644211).

The spelling of 11221332332000 in words is "eleven trillion, two hundred twenty-one billion, three hundred thirty-two million, three hundred thirty-two thousand".