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11221332233320 = 2351126156966797
BaseRepresentation
bin1010001101001010101110…
…0001011000110001101000
31110201202012221022002121101
42203102223201120301220
52432322242022431240
635511001525251144
72235500034134356
oct243225341306150
943652187262541
1011221332233320
113636a38562800
121312929563ab4
136352231304a1
142ab1888507d6
15146d5c80539a
hexa34ab858c68

11221332233320 has 192 divisors, whose sum is σ = 28256876600400. Its totient is φ = 4006477516800.

The previous prime is 11221332233311. The next prime is 11221332233333. The reversal of 11221332233320 is 2333223312211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 65318069476 + 11156014163844 = 255574^2 + 3340062^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 167958162 + ... + 168024958.

Almost surely, 211221332233320 is an apocalyptic number.

11221332233320 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 11221332233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128438300200).

11221332233320 is an abundant number, since it is smaller than the sum of its proper divisors (17035544367080).

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

11221332233320 is a wasteful number, since it uses less digits than its factorization.

11221332233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67460 (or 67445 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 11221332233320 its reverse (2333223312211), we get a palindrome (13554555545531).

The spelling of 11221332233320 in words is "eleven trillion, two hundred twenty-one billion, three hundred thirty-two million, two hundred thirty-three thousand, three hundred twenty".