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11011002112 = 2811291091237
BaseRepresentation
bin10100100000100111…
…01000111100000000
31001102101010212022001
422100103220330000
5140022304031422
65020335553344
7536601654655
oct122023507400
931371125261
1011011002112
114740472950
12217368b854
1310662aa386
14766535c2c
15446a14227
hex2904e8f00

11011002112 has 144 divisors (see below), whose sum is σ = 25051672800. Its totient is φ = 4784209920.

The previous prime is 11011002109. The next prime is 11011002133. The reversal of 11011002112 is 21120011011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8900758 + ... + 8901994.

It is an arithmetic number, because the mean of its divisors is an integer number (173969950).

Almost surely, 211011002112 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 11011002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12525836400).

11011002112 is an abundant number, since it is smaller than the sum of its proper divisors (14040670688).

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

11011002112 is a wasteful number, since it uses less digits than its factorization.

11011002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11011002112 its reverse (21120011011), we get a palindrome (32131013123).

The spelling of 11011002112 in words is "eleven billion, eleven million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 109 116 128 176 218 232 256 319 352 436 464 638 704 872 928 1199 1237 1276 1408 1744 1856 2398 2474 2552 2816 3161 3488 3712 4796 4948 5104 6322 6976 7424 9592 9896 10208 12644 13607 13952 19184 19792 20416 25288 27214 27904 34771 35873 38368 39584 40832 50576 54428 69542 71746 76736 79168 81664 101152 108856 134833 139084 143492 153472 158336 202304 217712 269666 278168 286984 306944 316672 394603 404608 435424 539332 556336 573968 789206 809216 870848 1078664 1112672 1147936 1483163 1578412 1741696 2157328 2225344 2295872 2966326 3156824 3483392 3910157 4314656 4450688 4591744 5932652 6313648 7820314 8629312 8901376 9183488 11865304 12627296 15640628 17258624 23730608 25254592 31281256 34517248 43011727 47461216 50509184 62562512 86023454 94922432 101018368 125125024 172046908 189844864 250250048 344093816 379689728 500500096 688187632 1001000192 1376375264 2752750528 5505501056 11011002112