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11333042224 = 2472412711301
BaseRepresentation
bin10101000111000000…
…01000000000110000
31002020211010012021121
422203200020000300
5141202224322344
65112322232024
7550562161300
oct124340100060
932224105247
1011333042224
1148962303a9
1222434b5614
1310b7c2405a
14797205600
15464e28684
hex2a3808030

11333042224 has 120 divisors (see below), whose sum is σ = 26282442816. Its totient is φ = 4717440000.

The previous prime is 11333042221. The next prime is 11333042257. The reversal of 11333042224 is 42224033311.

It is not an unprimeable number, because it can be changed into a prime (11333042221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8710374 + ... + 8711674.

Almost surely, 211333042224 is an apocalyptic number.

11333042224 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 11333042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13141221408).

11333042224 is an abundant number, since it is smaller than the sum of its proper divisors (14949400592).

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

11333042224 is a wasteful number, since it uses less digits than its factorization.

11333042224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 11333042224 its reverse (42224033311), we get a palindrome (53557075535).

The spelling of 11333042224 in words is "eleven billion, three hundred thirty-three million, forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 271 287 328 392 542 574 656 784 1084 1148 1301 1897 2009 2168 2296 2602 3794 4018 4336 4592 5204 7588 8036 9107 10408 11111 13279 15176 16072 18214 20816 22222 26558 30352 32144 36428 44444 53116 53341 63749 72856 77777 88888 106232 106682 127498 145712 155554 177776 212464 213364 254996 311108 352571 373387 426728 509992 544439 622216 705142 746774 853456 1019984 1088878 1244432 1410284 1493548 2177756 2467997 2613709 2820568 2987096 4355512 4935994 5227418 5641136 5974192 8711024 9871988 10454836 14455411 17275979 19743976 20909672 28910822 34551958 39487952 41819344 57821644 69103916 101187877 115643288 138207832 202375754 231286576 276415664 404751508 708315139 809503016 1416630278 1619006032 2833260556 5666521112 11333042224