Search a number
-
+
11223322230120 = 233571113267134981
BaseRepresentation
bin1010001101010010001000…
…1000100111110101101000
31110201221100121211102000120
42203110202020213311220
52432340330442330440
635511531214003240
72235600246624330
oct243244210476550
943657317742016
1011223322230120
113637869897860
1213131a3aa6520
1363547c4b46a0
142ab2d6c640c0
15146e2738ddd0
hexa3522227d68

11223322230120 has 512 divisors, whose sum is σ = 45225446031360. Its totient is φ = 2151857664000.

The previous prime is 11223322230061. The next prime is 11223322230157. The reversal of 11223322230120 is 2103222332211.

It is a super-2 number, since 2×112233222301202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 127 ways as a sum of consecutive naturals, for example, 320823030 + ... + 320858010.

It is an arithmetic number, because the mean of its divisors is an integer number (88330949280).

Almost surely, 211223322230120 is an apocalyptic number.

11223322230120 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 11223322230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22612723015680).

11223322230120 is an abundant number, since it is smaller than the sum of its proper divisors (34002123801240).

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

11223322230120 is a wasteful number, since it uses less digits than its factorization.

11223322230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37697 (or 37693 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11223322230120 its reverse (2103222332211), we get a palindrome (13326544562331).

The spelling of 11223322230120 in words is "eleven trillion, two hundred twenty-three billion, three hundred twenty-two million, two hundred thirty thousand, one hundred twenty".