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11301010320 = 2435314873119
BaseRepresentation
bin10101000011001011…
…11011101110010000
31002011120211210202210
422201211323232100
5141121024312240
65105215512120
7550023000645
oct124145735620
932146753683
1011301010320
11487a142356
122234828640
1310b13ba272
14792c67dcc
154621ec780
hex2a197bb90

11301010320 has 160 divisors (see below), whose sum is σ = 36249108480. Its totient is φ = 2909468160.

The previous prime is 11301010313. The next prime is 11301010339. The reversal of 11301010320 is 2301010311.

11301010320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11301010296 and 11301010305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3621721 + ... + 3624839.

It is an arithmetic number, because the mean of its divisors is an integer number (226556928).

Almost surely, 211301010320 is an apocalyptic number.

11301010320 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 11301010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18124554240).

11301010320 is an abundant number, since it is smaller than the sum of its proper divisors (24948098160).

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

11301010320 is a wasteful number, since it uses less digits than its factorization.

11301010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11301010320 its reverse (2301010311), we get a palindrome (13602020631).

Subtracting from 11301010320 its reverse (2301010311), we obtain a palindrome (9000000009).

The spelling of 11301010320 in words is "eleven billion, three hundred one million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 487 496 620 744 930 974 1240 1461 1488 1860 1948 2435 2480 2922 3119 3720 3896 4870 5844 6238 7305 7440 7792 9357 9740 11688 12476 14610 15097 15595 18714 19480 23376 24952 29220 30194 31190 37428 38960 45291 46785 49904 58440 60388 62380 74856 75485 90582 93570 96689 116880 120776 124760 149712 150970 181164 187140 193378 226455 241552 249520 290067 301940 362328 374280 386756 452910 483445 580134 603880 724656 748560 773512 905820 966890 1160268 1207760 1450335 1518953 1547024 1811640 1933780 2320536 2900670 3037906 3623280 3867560 4556859 4641072 5801340 6075812 7594765 7735120 9113718 11602680 12151624 15189530 18227436 22784295 23205360 24303248 30379060 36454872 45568590 47087543 60758120 72909744 91137180 94175086 121516240 141262629 182274360 188350172 235437715 282525258 364548720 376700344 470875430 565050516 706313145 753400688 941750860 1130101032 1412626290 1883501720 2260202064 2825252580 3767003440 5650505160 11301010320