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11130231112 = 23711134332323
BaseRepresentation
bin10100101110110100…
…11101100101001000
31001201200111022201221
422113122131211020
5140243314343422
65040235251424
7542550255250
oct122732354510
931650438657
1011130231112
1147a17a8410
1221a75a9b74
131084bc4390
147782d0960
154522163c7
hex29769d948

11130231112 has 128 divisors (see below), whose sum is σ = 28672680960. Its totient is φ = 3909669120.

The previous prime is 11130231107. The next prime is 11130231121. The reversal of 11130231112 is 21113203111.

It is a happy number.

11130231112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 328183 + ... + 360505.

It is an arithmetic number, because the mean of its divisors is an integer number (224005320).

Almost surely, 211130231112 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 11130231112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14336340480).

11130231112 is an abundant number, since it is smaller than the sum of its proper divisors (17542449848).

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

11130231112 is a wasteful number, since it uses less digits than its factorization.

11130231112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32403 (or 32399 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11130231112 its reverse (21113203111), we get a palindrome (32243434223).

It can be divided in two parts, 11130 and 231112, that added together give a palindrome (242242).

The spelling of 11130231112 in words is "eleven billion, one hundred thirty million, two hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 43 44 52 56 77 86 88 91 104 143 154 172 182 286 301 308 344 364 473 559 572 602 616 728 946 1001 1118 1144 1204 1892 2002 2236 2408 3311 3784 3913 4004 4472 6149 6622 7826 8008 12298 13244 15652 24596 26488 31304 32323 43043 49192 64646 86086 129292 172172 226261 258584 344344 355553 420199 452522 711106 840398 905044 1389889 1422212 1680796 1810088 2488871 2779778 2844424 2941393 3361592 4622189 4977742 5559556 5882786 9244378 9729223 9955484 11119112 11765572 15288779 18068557 18488756 19458446 19910968 23531144 30577558 32355323 36137114 36977512 38916892 61155116 64710646 72274228 77833784 107021453 122310232 126479899 129421292 144548456 198754127 214042906 252959798 258842584 397508254 428085812 505919596 795016508 856171624 1011839192 1391278889 1590033016 2782557778 5565115556 11130231112