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11033310420 = 2232511172989127
BaseRepresentation
bin10100100011010001…
…01111010011010100
31001110221010020112200
422101220233103110
5140044011413140
65022454044500
7540262406526
oct122150572324
931427106480
1011033310420
11475201a470
12217b049730
13106aabb362
147694a1a16
1544896e030
hex291a2f4d4

11033310420 has 576 divisors, whose sum is σ = 40758681600. Its totient is φ = 2384363520.

The previous prime is 11033310413. The next prime is 11033310467. The reversal of 11033310420 is 2401333011.

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

It is a junction number, because it is equal to n+sod(n) for n = 11033310393 and 11033310402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86876397 + ... + 86876523.

It is an arithmetic number, because the mean of its divisors is an integer number (70761600).

Almost surely, 211033310420 is an apocalyptic number.

11033310420 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 11033310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20379340800).

11033310420 is an abundant number, since it is smaller than the sum of its proper divisors (29725371180).

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

11033310420 is a wasteful number, since it uses less digits than its factorization.

11033310420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 283 counting only the distinct ones).

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

Adding to 11033310420 its reverse (2401333011), we get a palindrome (13434643431).

The spelling of 11033310420 in words is "eleven billion, thirty-three million, three hundred ten thousand, four hundred twenty".