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11004213220 = 2257211131731149
BaseRepresentation
bin10100011111110011…
…01111011111100100
31001101220100221200121
422033321233133210
5140014034310340
65015534251324
7536460161200
oct121771573744
931356327617
1011004213220
1147376562a0
122171356b44
131064a71290
14765689b00
1544612294a
hex28fe6f7e4

11004213220 has 576 divisors, whose sum is σ = 34749388800. Its totient is φ = 2864332800.

The previous prime is 11004213191. The next prime is 11004213221. The reversal of 11004213220 is 2231240011.

It is a junction number, because it is equal to n+sod(n) for n = 11004213194 and 11004213203.

It is not an unprimeable number, because it can be changed into a prime (11004213221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73853706 + ... + 73853854.

It is an arithmetic number, because the mean of its divisors is an integer number (60328800).

Almost surely, 211004213220 is an apocalyptic number.

11004213220 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 11004213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17374694400).

11004213220 is an abundant number, since it is smaller than the sum of its proper divisors (23745175580).

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

11004213220 is a wasteful number, since it uses less digits than its factorization.

11004213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11004213220 its reverse (2231240011), we get a palindrome (13235453231).

The spelling of 11004213220 in words is "eleven billion, four million, two hundred thirteen thousand, two hundred twenty".