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11530223300 = 22524713071877
BaseRepresentation
bin10101011110100000…
…10011111011000100
31002202120011000212102
422233100103323010
5142103214121200
65144044411232
7555505165241
oct125720237304
932676130772
1011530223300
114987568472
122299546b18
131119a3224b
147b54925c8
154773c76d5
hex2af413ec4

11530223300 has 72 divisors (see below), whose sum is σ = 25586112384. Its totient is φ = 4508103040.

The previous prime is 11530223269. The next prime is 11530223317. The reversal of 11530223300 is 332203511.

11530223300 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 (20).

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 23 ways as a sum of consecutive naturals, for example, 6141962 + ... + 6143838.

It is an arithmetic number, because the mean of its divisors is an integer number (355362672).

Almost surely, 211530223300 is an apocalyptic number.

11530223300 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 11530223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12793056192).

11530223300 is an abundant number, since it is smaller than the sum of its proper divisors (14055889084).

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

11530223300 is a wasteful number, since it uses less digits than its factorization.

11530223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 11530223300 its reverse (332203511), we get a palindrome (11862426811).

The spelling of 11530223300 in words is "eleven billion, five hundred thirty million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 1307 1877 2350 2614 3754 4700 5228 6535 7508 9385 13070 18770 26140 32675 37540 46925 61429 65350 88219 93850 122858 130700 176438 187700 245716 307145 352876 441095 614290 882190 1228580 1535725 1764380 2205475 2453239 3071450 4410950 4906478 6142900 8821900 9812956 12266195 24532390 49064780 61330975 115302233 122661950 230604466 245323900 461208932 576511165 1153022330 2306044660 2882555825 5765111650 11530223300