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11241231433224 = 2331373964951151
BaseRepresentation
bin1010001110010100110110…
…0110110011111000001000
31110210122120202011012010020
42203211031212303320020
52433134020221330344
635524052254220440
72240103123424422
oct243451546637010
943718522135106
1011241231433224
11364441a0a4161
1213167617b4720
136370749743a0
142ac1155b7812
151476247ae719
hexa394d9b3e08

11241231433224 has 128 divisors (see below), whose sum is σ = 30683220288000. Its totient is φ = 3411038822400.

The previous prime is 11241231433213. The next prime is 11241231433253. The reversal of 11241231433224 is 42233413214211.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219740049 + ... + 219791199.

It is an arithmetic number, because the mean of its divisors is an integer number (239712658500).

Almost surely, 211241231433224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11241231433224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15341610144000).

11241231433224 is an abundant number, since it is smaller than the sum of its proper divisors (19441988854776).

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

11241231433224 is a wasteful number, since it uses less digits than its factorization.

11241231433224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60895 (or 60891 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 11241231433224 its reverse (42233413214211), we get a palindrome (53474644647435).

The spelling of 11241231433224 in words is "eleven trillion, two hundred forty-one billion, two hundred thirty-one million, four hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 219 292 312 438 584 876 949 1752 1898 2847 3796 5694 7592 9649 11388 19298 22776 28947 38596 51151 57894 77192 102302 115788 125437 153453 204604 231576 250874 306906 376311 409208 501748 613812 664963 704377 752622 1003496 1227624 1329926 1408754 1505244 1994889 2113131 2659852 2817508 3010488 3734023 3989778 4226262 5319704 5635016 7468046 7979556 8452524 9156901 11202069 14936092 15959112 16905048 18313802 22404138 27470703 29872184 36627604 44808276 48542299 54941406 73255208 89616552 97084598 109882812 145626897 194169196 219765624 291253794 388338392 493555999 582507588 987111998 1165015176 1480667997 1974223996 2961335994 3948447992 5922671988 6416227987 11845343976 12832455974 19248683961 25664911948 36029587927 38497367922 51329823896 72059175854 76994735844 108088763781 144118351708 153989471688 216177527562 288236703416 432355055124 468384643051 864710110248 936769286102 1405153929153 1873538572204 2810307858306 3747077144408 5620615716612 11241231433224