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11033231220 = 223251119313937
BaseRepresentation
bin10100100011010000…
…11011111101110100
31001110220222012220100
422101220123331310
5140044001344340
65022452234100
7540261626604
oct122150337564
931426865810
1011033231220
114751a75a10
12217b00b930
13106aa912ab
14769480c04
15448955830
hex291a1bf74

11033231220 has 288 divisors, whose sum is σ = 38595473280. Its totient is φ = 2523156480.

The previous prime is 11033231137. The next prime is 11033231257. The reversal of 11033231220 is 2213233011.

11033231220 is a `hidden beast` number, since 1 + 1 + 0 + 332 + 312 + 20 = 666.

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 = 11033231193 and 11033231202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11774592 + ... + 11775528.

It is an arithmetic number, because the mean of its divisors is an integer number (134012060).

Almost surely, 211033231220 is an apocalyptic number.

11033231220 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 11033231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19297736640).

11033231220 is an abundant number, since it is smaller than the sum of its proper divisors (27562242060).

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

11033231220 is a wasteful number, since it uses less digits than its factorization.

11033231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1290 counting only the distinct ones).

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

Adding to 11033231220 its reverse (2213233011), we get a palindrome (13246464231).

It can be divided in two parts, 1103 and 3231220, that added together give a palindrome (3232323).

The spelling of 11033231220 in words is "eleven billion, thirty-three million, two hundred thirty-one thousand, two hundred twenty".