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11003232320 = 265174149333
BaseRepresentation
bin10100011111101100…
…00000000001000000
31001101211112010010222
422033312000001000
5140013311413240
65015501242212
7536445634343
oct121766000100
931354463128
1011003232320
114737046333
122170b63368
1310647b9972
147654b245a
15445ecbeb5
hex28fd80040

11003232320 has 112 divisors (see below), whose sum is σ = 28419936048. Its totient is φ = 4041277440.

The previous prime is 11003232301. The next prime is 11003232341. The reversal of 11003232320 is 2323230011.

It can be written as a sum of positive squares in 8 ways, for example, as 265298944 + 10737933376 = 16288^2 + 103624^2 .

It is a super-2 number, since 2×110032323202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198374 + ... + 247706.

It is an arithmetic number, because the mean of its divisors is an integer number (253749429).

Almost surely, 211003232320 is an apocalyptic number.

11003232320 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 11003232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14209968024).

11003232320 is an abundant number, since it is smaller than the sum of its proper divisors (17416703728).

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

11003232320 is a wasteful number, since it uses less digits than its factorization.

11003232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49408 (or 49398 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 11003232320 its reverse (2323230011), we get a palindrome (13326462331).

The spelling of 11003232320 in words is "eleven billion, three million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 64 68 80 82 85 136 160 164 170 205 272 320 328 340 410 544 656 680 697 820 1088 1312 1360 1394 1640 2624 2720 2788 3280 3485 5440 5576 6560 6970 11152 13120 13940 22304 27880 44608 49333 55760 98666 111520 197332 223040 246665 394664 493330 789328 838661 986660 1578656 1677322 1973320 2022653 3157312 3354644 3946640 4045306 4193305 6709288 7893280 8090612 8386610 10113265 13418576 15786560 16181224 16773220 20226530 26837152 32362448 33546440 34385101 40453060 53674304 64724896 67092880 68770202 80906120 129449792 134185760 137540404 161812240 171925505 268371520 275080808 323624480 343851010 550161616 647248960 687702020 1100323232 1375404040 2200646464 2750808080 5501616160 11003232320