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11044133300 = 22521759149739
BaseRepresentation
bin10100100100100100…
…00001100110110100
31001111200111002202002
422102102001212310
5140104244231200
65023522034432
7540453404234
oct122222014664
931450432662
1011044133300
1147581418a2
1221827a8a18
13107010a625
1476aabbcc4
154498aabd5
hex2924819b4

11044133300 has 144 divisors (see below), whose sum is σ = 26013960000. Its totient is φ = 4054394880.

The previous prime is 11044133267. The next prime is 11044133311. The reversal of 11044133300 is 333144011.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14944331 + ... + 14945069.

It is an arithmetic number, because the mean of its divisors is an integer number (180652500).

Almost surely, 211044133300 is an apocalyptic number.

11044133300 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 11044133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13006980000).

11044133300 is an abundant number, since it is smaller than the sum of its proper divisors (14969826700).

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

11044133300 is a wasteful number, since it uses less digits than its factorization.

11044133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11044133300 its reverse (333144011), we get a palindrome (11377277311).

The spelling of 11044133300 in words is "eleven billion, forty-four million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 59 68 85 100 118 149 170 236 295 298 340 425 590 596 739 745 850 1003 1180 1475 1478 1490 1700 2006 2533 2950 2956 2980 3695 3725 4012 5015 5066 5900 7390 7450 8791 10030 10132 12563 12665 14780 14900 17582 18475 20060 25075 25126 25330 35164 36950 43601 43955 50150 50252 50660 62815 63325 73900 87202 87910 100300 110111 125630 126650 149447 174404 175820 218005 219775 220222 251260 253300 298894 314075 436010 439550 440444 550555 597788 628150 741217 747235 872020 879100 1090025 1101110 1256300 1482434 1494470 1871887 2180050 2202220 2752775 2964868 2988940 3706085 3736175 3743774 4360100 5505550 6496549 7412170 7472350 7487548 9359435 11011100 12993098 14824340 14944700 18530425 18718870 25986196 32482745 37060850 37437740 46797175 64965490 74121700 93594350 110441333 129930980 162413725 187188700 220882666 324827450 441765332 552206665 649654900 1104413330 2208826660 2761033325 5522066650 11044133300