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11200001112 = 233347223473
BaseRepresentation
bin10100110111001001…
…00111010001011000
31001220112210000012000
422123210213101120
5140414200013422
65051210521000
7544355303316
oct123344472130
931815700160
1011200001112
114828121673
122206a36160
1310964b22c1
147836930b6
154583e8cac
hex29b927458

11200001112 has 96 divisors (see below), whose sum is σ = 31788490800. Its totient is φ = 3653745408.

The previous prime is 11200001107. The next prime is 11200001207. The reversal of 11200001112 is 21110000211.

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 = 11200001094 and 11200001103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465408 + ... + 488880.

Almost surely, 211200001112 is an apocalyptic number.

11200001112 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 11200001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894245400).

11200001112 is an abundant number, since it is smaller than the sum of its proper divisors (20588489688).

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

11200001112 is a wasteful number, since it uses less digits than its factorization.

11200001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23582 (or 23525 counting only the distinct ones).

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

Adding to 11200001112 its reverse (21110000211), we get a palindrome (32310001323).

Subtracting 11200001112 from its reverse (21110000211), we obtain a palindrome (9909999099).

The spelling of 11200001112 in words is "eleven billion, two hundred million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2209 2538 3384 4418 5076 6627 8836 10152 13254 17672 19881 23473 26508 39762 46946 53016 59643 70419 79524 93892 119286 140838 159048 187784 211257 238572 281676 422514 477144 563352 633771 845028 1103231 1267542 1690056 2206462 2535084 3309693 4412924 5070168 6619386 8825848 9929079 13238772 19858158 26477544 29787237 39716316 51851857 59574474 79432632 103703714 119148948 155555571 207407428 238297896 311111142 414814856 466666713 622222284 933333426 1244444568 1400000139 1866666852 2800000278 3733333704 5600000556 11200001112