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11010963348 = 223271137107357
BaseRepresentation
bin10100100000100110…
…11111011110010100
31001102101001220010100
422100103133132110
5140022301311343
65020335054100
7536601433650
oct122023373624
931371056110
1011010963348
114740446810
122173671330
131066295838
14766525a60
15446a079d3
hex2904df794

11010963348 has 144 divisors (see below), whose sum is σ = 35639420544. Its totient is φ = 2782667520.

The previous prime is 11010963343. The next prime is 11010963349. The reversal of 11010963348 is 84336901011.

11010963348 is a `hidden beast` number, since 1 + 1 + 0 + 10 + 9 + 633 + 4 + 8 = 666.

11010963348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010963343) 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, 48886 + ... + 156242.

It is an arithmetic number, because the mean of its divisors is an integer number (247495976).

Almost surely, 211010963348 is an apocalyptic number.

11010963348 is a gapful number since it is divisible by the number (18) 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 11010963348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17819710272).

11010963348 is an abundant number, since it is smaller than the sum of its proper divisors (24628457196).

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

11010963348 is a wasteful number, since it uses less digits than its factorization.

11010963348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107422 (or 107417 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11010963348 in words is "eleven billion, ten million, nine hundred sixty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 37 42 44 63 66 74 77 84 99 111 126 132 148 154 198 222 231 252 259 308 333 396 407 444 462 518 666 693 777 814 924 1036 1221 1332 1386 1554 1628 2331 2442 2772 2849 3108 3663 4662 4884 5698 7326 8547 9324 11396 14652 17094 25641 34188 51282 102564 107357 214714 322071 429428 644142 751499 966213 1180927 1288284 1502998 1932426 2254497 2361854 3005996 3542781 3864852 3972209 4508994 4723708 6763491 7085562 7944418 8266489 9017988 10628343 11916627 13526982 14171124 15888836 16532978 21256686 23833254 24799467 27053964 27805463 33065956 35749881 42513372 43694299 47666508 49598934 55610926 71499762 74398401 83416389 87388598 99197868 111221852 131082897 142999524 148796802 166832778 174777196 250249167 262165794 297593604 305860093 333665556 393248691 500498334 524331588 611720186 786497382 917580279 1000996668 1223440372 1572994764 1835160558 2752740837 3670321116 5505481674 11010963348