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11000112012 = 22341031132917
BaseRepresentation
bin10100011111010100…
…00110001110001100
31001101121122120220000
422033222012032030
5140012012041022
65015310324300
7536410260261
oct121752061614
931347576800
1011000112012
114735304a6a
12216bab9690
131063c66626
14764cdd268
15445ab26ac
hex28fa8638c

11000112012 has 120 divisors (see below), whose sum is σ = 29302649376. Its totient is φ = 3597737472.

The previous prime is 11000112001. The next prime is 11000112029. The reversal of 11000112012 is 21021100011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000111985 and 11000112003.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3769578 + ... + 3772494.

Almost surely, 211000112012 is an apocalyptic number.

11000112012 is a gapful number since it is divisible by the number (12) 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 11000112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651324688).

11000112012 is an abundant number, since it is smaller than the sum of its proper divisors (18302537364).

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

11000112012 is a wasteful number, since it uses less digits than its factorization.

11000112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000112012 its reverse (21021100011), we get a palindrome (32021212023).

The spelling of 11000112012 in words is "eleven billion, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 113 162 206 226 309 324 339 412 452 618 678 927 1017 1236 1356 1854 2034 2781 2917 3051 3708 4068 5562 5834 6102 8343 8751 9153 11124 11639 11668 12204 16686 17502 18306 23278 26253 33372 34917 35004 36612 46556 52506 69834 78759 104751 105012 139668 157518 209502 236277 300451 314253 315036 329621 419004 472554 600902 628506 659242 901353 942759 945108 988863 1201804 1257012 1318484 1802706 1885518 1977726 2704059 2966589 3605412 3771036 3955452 5408118 5933178 8112177 8899767 10816236 11866356 16224354 17799534 24336531 26699301 32448708 33950963 35599068 48673062 53398602 67901926 97346124 101852889 106797204 135803852 203705778 305558667 407411556 611117334 916676001 1222234668 1833352002 2750028003 3666704004 5500056006 11000112012