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11125010112 = 263194337043
BaseRepresentation
bin10100101110001101…
…00010111011000000
31001201022200001212120
422113012202323000
5140241000310422
65035531324240
7542455011546
oct122706427300
931638601776
1011125010112
114799861837
1221a58b0680
131083ab6b28
14777731d96
15451a3445c
hex2971a2ec0

11125010112 has 112 divisors (see below), whose sum is σ = 31060095360. Its totient is φ = 3504549888.

The previous prime is 11125010111. The next prime is 11125010147. The reversal of 11125010112 is 21101052111.

It is a junction number, because it is equal to n+sod(n) for n = 11125010091 and 11125010100.

It is not an unprimeable number, because it can be changed into a prime (11125010111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1576063 + ... + 1583105.

It is an arithmetic number, because the mean of its divisors is an integer number (277322280).

Almost surely, 211125010112 is an apocalyptic number.

11125010112 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 11125010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15530047680).

11125010112 is an abundant number, since it is smaller than the sum of its proper divisors (19935085248).

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

11125010112 is a wasteful number, since it uses less digits than its factorization.

11125010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7510 (or 7500 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 11125010112 its reverse (21101052111), we get a palindrome (32226062223).

The spelling of 11125010112 in words is "eleven billion, one hundred twenty-five million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 433 456 608 866 912 1216 1299 1732 1824 2598 3464 3648 5196 6928 7043 8227 10392 13856 14086 16454 20784 21129 24681 27712 28172 32908 41568 42258 49362 56344 65816 83136 84516 98724 112688 131632 133817 169032 197448 225376 263264 267634 338064 394896 401451 450752 526528 535268 676128 789792 802902 1070536 1352256 1579584 1605804 2141072 3049619 3211608 4282144 6099238 6423216 8564288 9148857 12198476 12846432 18297714 24396952 25692864 36595428 48793904 57942761 73190856 97587808 115885522 146381712 173828283 195175616 231771044 292763424 347656566 463542088 585526848 695313132 927084176 1390626264 1854168352 2781252528 3708336704 5562505056 11125010112