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11344210300 = 22521943313789
BaseRepresentation
bin10101001000010101…
…01110100101111100
31002021121010121000001
422210022232211330
5141213104212200
65113401444044
7551056124263
oct124412564574
932247117001
1011344210300
1148a1569115
1222471a0624
1310ba334497
147988b15da
15465dd276a
hex2a42ae97c

11344210300 has 72 divisors (see below), whose sum is σ = 25974292400. Its totient is φ = 4288619520.

The previous prime is 11344210291. The next prime is 11344210373. The reversal of 11344210300 is 301244311.

11344210300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113442103002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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, 815806 + ... + 829594.

Almost surely, 211344210300 is an apocalyptic number.

11344210300 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 11344210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12987146200).

11344210300 is an abundant number, since it is smaller than the sum of its proper divisors (14630082100).

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

11344210300 is a wasteful number, since it uses less digits than its factorization.

11344210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14255 (or 14248 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 11344210300 its reverse (301244311), we get a palindrome (11645454611).

The spelling of 11344210300 in words is "eleven billion, three hundred forty-four million, two hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 433 475 866 950 1732 1900 2165 4330 8227 8660 10825 13789 16454 21650 27578 32908 41135 43300 55156 68945 82270 137890 164540 205675 261991 275780 344725 411350 523982 689450 822700 1047964 1309955 1378900 2619910 5239820 5970637 6549775 11941274 13099550 23882548 26199100 29853185 59706370 113442103 119412740 149265925 226884206 298531850 453768412 567210515 597063700 1134421030 2268842060 2836052575 5672105150 11344210300