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11030335344 = 2432731334961
BaseRepresentation
bin10100100010111010…
…11000111101110000
31001110201112002111200
422101131120331300
5140042231212334
65022310211200
7540225206040
oct122135307560
931421462450
1011030335344
114750378226
12217a053b00
13106a2b9162
14768d29720
15448582799
hex291758f70

11030335344 has 120 divisors (see below), whose sum is σ = 35393291232. Its totient is φ = 3141365760.

The previous prime is 11030335343. The next prime is 11030335363. The reversal of 11030335344 is 44353303011.

11030335344 is a `hidden beast` number, since 1 + 1 + 0 + 303 + 353 + 4 + 4 = 666.

11030335344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11030335343) by changing a digit.

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, 298024 + ... + 332984.

Almost surely, 211030335344 is an apocalyptic number.

11030335344 is a gapful number since it is divisible by the number (14) 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 11030335344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696645616).

11030335344 is an abundant number, since it is smaller than the sum of its proper divisors (24362955888).

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

11030335344 is a wasteful number, since it uses less digits than its factorization.

11030335344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35295 (or 35286 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 11030335344 its reverse (44353303011), we get a palindrome (55383638355).

The spelling of 11030335344 in words is "eleven billion, thirty million, three hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 313 336 504 626 939 1008 1252 1878 2191 2504 2817 3756 4382 5008 5634 6573 7512 8764 11268 13146 15024 17528 19719 22536 26292 34961 35056 39438 45072 52584 69922 78876 104883 105168 139844 157752 209766 244727 279688 314649 315504 419532 489454 559376 629298 734181 839064 978908 1258596 1468362 1678128 1957816 2202543 2517192 2936724 3915632 4405086 5034384 5873448 8810172 10942793 11746896 17620344 21885586 32828379 35240688 43771172 65656758 76599551 87542344 98485137 131313516 153199102 175084688 196970274 229798653 262627032 306398204 393940548 459597306 525254064 612796408 689395959 787881096 919194612 1225592816 1378791918 1575762192 1838389224 2757583836 3676778448 5515167672 11030335344