Search a number
-
+
11033410320 = 2432515324181
BaseRepresentation
bin10100100011010010…
…00111101100010000
31001110221022022120200
422101221013230100
5140044023112240
65022500135200
7540263304012
oct122151075420
931427268520
1011033410320
114752088529
12217b097500
13106ab2497a
147694ca1b2
1544898d930
hex291a47b10

11033410320 has 60 divisors (see below), whose sum is σ = 37053872076. Its totient is φ = 2942242560.

The previous prime is 11033410313. The next prime is 11033410321. The reversal of 11033410320 is 2301433011.

11033410320 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 341 + 0 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7293843216 + 3739567104 = 85404^2 + 61152^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×110334103202 (a number of 21 digits) contains 22 as substring.

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 = 11033410293 and 11033410302.

It is not an unprimeable number, because it can be changed into a prime (11033410321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7661371 + ... + 7662810.

Almost surely, 211033410320 is an apocalyptic number.

11033410320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11033410320 is an abundant number, since it is smaller than the sum of its proper divisors (26020461756).

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

11033410320 is a wasteful number, since it uses less digits than its factorization.

11033410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15324200 (or 15324191 counting only the distinct ones).

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

Adding to 11033410320 its reverse (2301433011), we get a palindrome (13334843331).

The spelling of 11033410320 in words is "eleven billion, thirty-three million, four hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 15324181 30648362 45972543 61296724 76620905 91945086 122593448 137917629 153241810 183890172 229862715 245186896 275835258 306483620 367780344 459725430 551670516 612967240 689588145 735560688 919450860 1103341032 1225934480 1379176290 1838901720 2206682064 2758352580 3677803440 5516705160 11033410320