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11033430120 = 2333550920071
BaseRepresentation
bin10100100011010010…
…01100100001101000
31001110221100022202000
422101221030201220
5140044024230440
65022500411000
7540263415516
oct122151144150
931427308660
1011033430120
1147520a1399
12217b0a6a60
13106ab3099b
147694d34b6
15448994730
hex291a4c868

11033430120 has 128 divisors (see below), whose sum is σ = 36852192000. Its totient is φ = 2936321280.

The previous prime is 11033430097. The next prime is 11033430127. The reversal of 11033430120 is 2103433011.

11033430120 is a `hidden beast` number, since 1 + 10 + 334 + 301 + 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 = 11033430093 and 11033430102.

It is not an unprimeable number, because it can be changed into a prime (11033430127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539685 + ... + 559755.

It is an arithmetic number, because the mean of its divisors is an integer number (287907750).

Almost surely, 211033430120 is an apocalyptic number.

11033430120 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 11033430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18426096000).

11033430120 is an abundant number, since it is smaller than the sum of its proper divisors (25818761880).

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

11033430120 is a wasteful number, since it uses less digits than its factorization.

11033430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20600 (or 20590 counting only the distinct ones).

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

Adding to 11033430120 its reverse (2103433011), we get a palindrome (13136863131).

The spelling of 11033430120 in words is "eleven billion, thirty-three million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 509 540 1018 1080 1527 2036 2545 3054 4072 4581 5090 6108 7635 9162 10180 12216 13743 15270 18324 20071 20360 22905 27486 30540 36648 40142 45810 54972 60213 61080 68715 80284 91620 100355 109944 120426 137430 160568 180639 183240 200710 240852 274860 301065 361278 401420 481704 541917 549720 602130 722556 802840 903195 1083834 1204260 1445112 1806390 2167668 2408520 2709585 3612780 4335336 5419170 7225560 10216139 10838340 20432278 21676680 30648417 40864556 51080695 61296834 81729112 91945251 102161390 122593668 153242085 183890502 204322780 245187336 275835753 306484170 367781004 408645560 459726255 551671506 612968340 735562008 919452510 1103343012 1225936680 1379178765 1838905020 2206686024 2758357530 3677810040 5516715060 11033430120