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1120112112 = 24374337699
BaseRepresentation
bin100001011000011…
…1000110111110000
32220001200120221210
41002300320313300
54243222041422
6303051520120
736520536660
oct10260706760
92801616853
101120112112
11525301899
12273159040
1314b0a3142
14a8a961a0
156850a10c
hex42c38df0

1120112112 has 80 divisors (see below), whose sum is σ = 3315065600. Its totient is φ = 319251456.

The previous prime is 1120112101. The next prime is 1120112113. The reversal of 1120112112 is 2112110211.

It is a super-2 number, since 2×11201121122 = 2509302286898201088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

1120112112 is a modest number, since divided by 112112 gives 1120 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120112113) 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, 141639 + ... + 149337.

It is an arithmetic number, because the mean of its divisors is an integer number (41438320).

Almost surely, 21120112112 is an apocalyptic number.

1120112112 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 1120112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657532800).

1120112112 is an abundant number, since it is smaller than the sum of its proper divisors (2194953488).

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

1120112112 is a wasteful number, since it uses less digits than its factorization.

1120112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8150 (or 8144 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1120112112 is about 33468.0760128215. The cubic root of 1120112112 is about 1038.5334704581.

Adding to 1120112112 its reverse (2112110211), we get a palindrome (3232222323).

The spelling of 1120112112 in words is "one billion, one hundred twenty million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 433 866 1299 1732 2598 3031 3464 5196 6062 6928 7699 9093 10392 12124 15398 18186 20784 23097 24248 30796 36372 46194 48496 53893 61592 72744 92388 107786 123184 145488 161679 184776 215572 323358 369552 431144 646716 862288 1293432 2586864 3333667 6667334 10001001 13334668 20002002 23335669 26669336 40004004 46671338 53338672 70007007 80008008 93342676 140014014 160016016 186685352 280028028 373370704 560056056 1120112112