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11322930230336 = 26975861311197
BaseRepresentation
bin1010010011000101001100…
…1110111111010001000000
31111002110110110212002122202
42210301103032333101000
52441003330114332321
640025403215052332
72246024523641324
oct244612316772100
944073413762582
1011322930230336
113676033a2169a
12132a5625110a8
13641994a2409a
142b2065c03984
15149806e9570b
hexa4c533bf440

11322930230336 has 56 divisors (see below), whose sum is σ = 22704524345496. Its totient is φ = 5602125496320.

The previous prime is 11322930230333. The next prime is 11322930230387. The reversal of 11322930230336 is 63303203922311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4550311936 + 11318379918400 = 67456^2 + 3364280^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11322930230336.

It is not an unprimeable number, because it can be changed into a prime (11322930230333) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36229490 + ... + 36540686.

It is an arithmetic number, because the mean of its divisors is an integer number (405437934741).

Almost surely, 211322930230336 is an apocalyptic number.

11322930230336 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 11322930230336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11352262172748).

11322930230336 is an abundant number, since it is smaller than the sum of its proper divisors (11381594115160).

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

11322930230336 is an equidigital number, since it uses as much as digits as its factorization.

11322930230336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317167 (or 317157 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 38.

The spelling of 11322930230336 in words is "eleven trillion, three hundred twenty-two billion, nine hundred thirty million, two hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 97 194 388 776 1552 3104 5861 6208 11722 23444 46888 93776 187552 311197 375104 568517 622394 1137034 1244788 2274068 2489576 4548136 4979152 9096272 9958304 18192544 19916608 30186109 36385088 60372218 120744436 241488872 482977744 965955488 1823925617 1931910976 3647851234 7295702468 14591404936 29182809872 58365619744 116731239488 176920784849 353841569698 707683139396 1415366278792 2830732557584 5661465115168 11322930230336