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11304301056 = 293109251269
BaseRepresentation
bin10101000011100100…
…11111001000000000
31002011211000222210220
422201302133020000
5141122400113211
65105414223040
7550062654636
oct124162371000
932154028726
1011304301056
114880a8a774
122235954a80
1310b1ca0049
14793483356
1546264c806
hex2a1c9f200

11304301056 has 160 divisors (see below), whose sum is σ = 30626164800. Its totient is φ = 3704832000.

The previous prime is 11304301051. The next prime is 11304301069. The reversal of 11304301056 is 65010340311.

It is a super-3 number, since 3×113043010563 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11304301051) 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 15 ways as a sum of consecutive naturals, for example, 42023290 + ... + 42023558.

It is an arithmetic number, because the mean of its divisors is an integer number (191413530).

Almost surely, 211304301056 is an apocalyptic number.

11304301056 is a gapful number since it is divisible by the number (16) 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 11304301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15313082400).

11304301056 is an abundant number, since it is smaller than the sum of its proper divisors (19321863744).

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

11304301056 is a wasteful number, since it uses less digits than its factorization.

11304301056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 11304301056 its reverse (65010340311), we get a palindrome (76314641367).

The spelling of 11304301056 in words is "eleven billion, three hundred four million, three hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 251 256 269 327 384 436 502 512 538 654 753 768 807 872 1004 1076 1308 1506 1536 1614 1744 2008 2152 2616 3012 3228 3488 4016 4304 5232 6024 6456 6976 8032 8608 10464 12048 12912 13952 16064 17216 20928 24096 25824 27359 27904 29321 32128 34432 41856 48192 51648 54718 55808 58642 64256 67519 68864 82077 83712 87963 96384 103296 109436 117284 128512 135038 137728 164154 167424 175926 192768 202557 206592 218872 234568 270076 328308 351852 385536 405114 413184 437744 469136 540152 656616 703704 810228 875488 938272 1080304 1313232 1407408 1620456 1750976 1876544 2160608 2626464 2814816 3240912 3501952 3753088 4321216 5252928 5629632 6481824 7003904 7359571 7506176 8642432 10505856 11259264 12963648 14007808 14719142 15012352 17284864 21011712 22078713 22518528 25927296 29438284 34569728 42023424 44157426 45037056 51854592 58876568 88314852 103709184 117753136 176629704 235506272 353259408 471012544 706518816 942025088 1413037632 1884050176 2826075264 3768100352 5652150528 11304301056