Search a number
-
+
11221220300 = 2252416740849
BaseRepresentation
bin10100111001101011…
…00011101111001100
31001222000201001102212
422130311203233030
5140440113022200
65053245405552
7545033540663
oct123465435714
931860631385
1011221220300
1148390a4994
122211b698b8
13109aa01634
14786417dda
1545a1db035
hex29cd63bcc

11221220300 has 72 divisors (see below), whose sum is σ = 25316869200. Its totient is φ = 4313548800.

The previous prime is 11221220201. The next prime is 11221220321. The reversal of 11221220300 is 302212211.

It is a happy number.

It is a super-2 number, since 2×112212203002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 254276 + ... + 295124.

Almost surely, 211221220300 is an apocalyptic number.

11221220300 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 11221220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12658434600).

11221220300 is an abundant number, since it is smaller than the sum of its proper divisors (14095648900).

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

11221220300 is a wasteful number, since it uses less digits than its factorization.

11221220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40971 (or 40964 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11221220300 its reverse (302212211), we get a palindrome (11523432511).

The spelling of 11221220300 in words is "eleven billion, two hundred twenty-one million, two hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 67 82 100 134 164 205 268 335 410 670 820 1025 1340 1675 2050 2747 3350 4100 5494 6700 10988 13735 27470 40849 54940 68675 81698 137350 163396 204245 274700 408490 816980 1021225 1674809 2042450 2736883 3349618 4084900 5473766 6699236 8374045 10947532 13684415 16748090 27368830 33496180 41870225 54737660 68422075 83740450 112212203 136844150 167480900 224424406 273688300 448848812 561061015 1122122030 2244244060 2805305075 5610610150 11221220300