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11441100330 = 23251149123537
BaseRepresentation
bin10101010011111000…
…10101011000101010
31002112100110010010200
422221330111120222
5141412410202310
65131142253030
7553343514432
oct125174253052
932470403120
1011441100330
114941226020
122273727176
13110442956a
147a76d32c2
1546e6709c0
hex2a9f1562a

11441100330 has 96 divisors (see below), whose sum is σ = 32518594368. Its totient is φ = 2767833600.

The previous prime is 11441100313. The next prime is 11441100331. The reversal of 11441100330 is 3300114411.

11441100330 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 2×114411003302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11441100331) 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 47 ways as a sum of consecutive naturals, for example, 474322 + ... + 497858.

It is an arithmetic number, because the mean of its divisors is an integer number (338735358).

Almost surely, 211441100330 is an apocalyptic number.

11441100330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11441100330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16259297184).

11441100330 is an abundant number, since it is smaller than the sum of its proper divisors (21077494038).

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

11441100330 is a wasteful number, since it uses less digits than its factorization.

11441100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24052 (or 24049 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11441100330 its reverse (3300114411), we get a palindrome (14741214741).

The spelling of 11441100330 in words is "eleven billion, four hundred forty-one million, one hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 491 495 982 990 1473 2455 2946 4419 4910 5401 7365 8838 10802 14730 16203 22095 23537 27005 32406 44190 47074 48609 54010 70611 81015 97218 117685 141222 162030 211833 235370 243045 258907 353055 423666 486090 517814 706110 776721 1059165 1294535 1553442 2118330 2330163 2589070 3883605 4660326 7767210 11556667 11650815 23113334 23301630 34670001 57783335 69340002 104010003 115566670 127123337 173350005 208020006 254246674 346700010 381370011 520050015 635616685 762740022 1040100030 1144110033 1271233370 1906850055 2288220066 3813700110 5720550165 11441100330