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11230504300 = 22521747140557
BaseRepresentation
bin10100111010110001…
…11110010101101100
31001222200011201200201
422131120332111230
5141000002114200
65054220403244
7545205466021
oct123530762554
931880151621
1011230504300
114843366114
1222150a6524
13109c902322
14787753548
1545ae21c6a
hex29d63e56c

11230504300 has 72 divisors (see below), whose sum is σ = 26352938304. Its totient is φ = 4137968640.

The previous prime is 11230504297. The next prime is 11230504303. The reversal of 11230504300 is 340503211.

It is an interprime number because it is at equal distance from previous prime (11230504297) and next prime (11230504303).

It is a super-2 number, since 2×112305043002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11230504303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9622 + ... + 150178.

It is an arithmetic number, because the mean of its divisors is an integer number (366013032).

Almost surely, 211230504300 is an apocalyptic number.

11230504300 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 11230504300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13176469152).

11230504300 is an abundant number, since it is smaller than the sum of its proper divisors (15122434004).

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

11230504300 is a wasteful number, since it uses less digits than its factorization.

11230504300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140635 (or 140628 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The spelling of 11230504300 in words is "eleven billion, two hundred thirty million, five hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 47 50 68 85 94 100 170 188 235 340 425 470 799 850 940 1175 1598 1700 2350 3196 3995 4700 7990 15980 19975 39950 79900 140557 281114 562228 702785 1405570 2389469 2811140 3513925 4778938 6606179 7027850 9557876 11947345 13212358 14055700 23894690 26424716 33030895 47789380 59736725 66061790 112305043 119473450 132123580 165154475 224610086 238946900 330308950 449220172 561525215 660617900 1123050430 2246100860 2807626075 5615252150 11230504300