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11002012112 = 2471329673889
BaseRepresentation
bin10100011111100010…
…10110000111010000
31001101202020010100002
422033301112013100
5140013003341422
65015415145132
7536432363030
oct121761260720
931352203302
1011002012112
1147363925a3
1221706751a8
131064480450
147652758c0
15445d3a692
hex28fc561d0

11002012112 has 160 divisors (see below), whose sum is σ = 27552403200. Its totient is φ = 4138573824.

The previous prime is 11002012097. The next prime is 11002012117. The reversal of 11002012112 is 21121020011.

It is a junction number, because it is equal to n+sod(n) for n = 11002012093 and 11002012102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002012117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2827064 + ... + 2830952.

It is an arithmetic number, because the mean of its divisors is an integer number (172202520).

Almost surely, 211002012112 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 11002012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13776201600).

11002012112 is an abundant number, since it is smaller than the sum of its proper divisors (16550391088).

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

11002012112 is a wasteful number, since it uses less digits than its factorization.

11002012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11002012112 its reverse (21121020011), we get a palindrome (32123032123).

The spelling of 11002012112 in words is "eleven billion, two million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 52 56 58 67 91 104 112 116 134 182 203 208 232 268 364 377 406 464 469 536 728 754 812 871 938 1072 1456 1508 1624 1742 1876 1943 2639 3016 3248 3484 3752 3886 3889 5278 6032 6097 6968 7504 7772 7778 10556 12194 13601 13936 15544 15556 21112 24388 25259 27202 27223 31088 31112 42224 48776 50518 50557 54404 54446 62224 97552 101036 101114 108808 108892 112781 176813 202072 202228 217616 217784 225562 260563 353626 353899 404144 404456 435568 451124 521126 707252 707798 789467 808912 902248 1042252 1414504 1415596 1466153 1578934 1804496 1823941 2084504 2829008 2831192 2932306 3157868 3387319 3647882 4169008 5662384 5864612 6315736 6774638 7295764 7556327 10263071 11729224 12631472 13549276 14591528 15112654 20526142 23458448 23711233 27098552 29183056 30225308 41052284 47422466 52894289 54197104 60450616 82104568 94844932 98232251 105788578 120901232 164209136 189689864 196464502 211577156 379379728 392929004 423154312 687625757 785858008 846308624 1375251514 1571716016 2750503028 5501006056 11002012112