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11344022300 = 22521310781553
BaseRepresentation
bin10101001000010100…
…00000101100011100
31002021120210001010002
422210022000230130
5141213032203200
65113353433432
7551054412212
oct124412005434
932246701102
1011344022300
1148a144a946
12224710b878
1310ba299a40
14798862cb2
15465d96bd5
hex2a4280b1c

11344022300 has 72 divisors (see below), whose sum is σ = 26758193616. Its totient is φ = 4149365760.

The previous prime is 11344022297. The next prime is 11344022309. The reversal of 11344022300 is 322044311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11344022309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98324 + ... + 179876.

It is an arithmetic number, because the mean of its divisors is an integer number (371641578).

Almost surely, 211344022300 is an apocalyptic number.

11344022300 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 11344022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13379096808).

11344022300 is an abundant number, since it is smaller than the sum of its proper divisors (15414171316).

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

11344022300 is a wasteful number, since it uses less digits than its factorization.

11344022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81687 (or 81680 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11344022300 its reverse (322044311), we get a palindrome (11666066611).

The spelling of 11344022300 in words is "eleven billion, three hundred forty-four million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 107 130 214 260 325 428 535 650 1070 1300 1391 2140 2675 2782 5350 5564 6955 10700 13910 27820 34775 69550 81553 139100 163106 326212 407765 815530 1060189 1631060 2038825 2120378 4077650 4240756 5300945 8155300 8726171 10601890 17452342 21203780 26504725 34904684 43630855 53009450 87261710 106018900 113440223 174523420 218154275 226880446 436308550 453760892 567201115 872617100 1134402230 2268804460 2836005575 5672011150 11344022300