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11122203330 = 2325737974919
BaseRepresentation
bin10100101101110111…
…10101101011000010
31001201010101110200200
422112323311223002
5140234241001310
65035351230030
7542422111530
oct122673655302
931633343620
1011122203330
114798214a87
1221a4978316
131083343404
14777201150
1545167c9c0
hex296ef5ac2

11122203330 has 192 divisors, whose sum is σ = 34298933760. Its totient is φ = 2447511552.

The previous prime is 11122203307. The next prime is 11122203341. The reversal of 11122203330 is 3330222111.

11122203330 is a `hidden beast` number, since 1 + 112 + 220 + 3 + 330 = 666.

It is a super-3 number, since 3×111222033303 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 2258611 + ... + 2263529.

It is an arithmetic number, because the mean of its divisors is an integer number (178640280).

Almost surely, 211122203330 is an apocalyptic number.

11122203330 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 11122203330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17149466880).

11122203330 is an abundant number, since it is smaller than the sum of its proper divisors (23176730430).

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

11122203330 is a wasteful number, since it uses less digits than its factorization.

11122203330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11122203330 its reverse (3330222111), we get a palindrome (14452425441).

The spelling of 11122203330 in words is "eleven billion, one hundred twenty-two million, two hundred three thousand, three hundred thirty".