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1112000120 = 235721151577
BaseRepresentation
bin100001001000111…
…1100011001111000
32212111102110101122
41002101330121320
54234133000440
6302202004412
736361562600
oct10221743170
92774373348
101112000120
11520771170
122704a6708
131494c2a4a
14a7983c00
15679567b5
hex4247c678

1112000120 has 96 divisors (see below), whose sum is σ = 3175141680. Its totient is φ = 346590720.

The previous prime is 1112000111. The next prime is 1112000161. The reversal of 1112000120 is 210002111.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1112000098 and 1112000107.

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, 4229 + ... + 47348.

Almost surely, 21112000120 is an apocalyptic number.

1112000120 is a gapful number since it is divisible by the number (10) 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 1112000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587570840).

1112000120 is an abundant number, since it is smaller than the sum of its proper divisors (2063141560).

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

1112000120 is a wasteful number, since it uses less digits than its factorization.

1112000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51613 (or 51602 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1112000120 is about 33346.6658003465. The cubic root of 1112000120 is about 1036.0203307430.

Adding to 1112000120 its reverse (210002111), we get a palindrome (1322002231).

The spelling of 1112000120 in words is "one billion, one hundred twelve million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 10780 21560 51577 103154 206308 257885 361039 412616 515770 567347 722078 1031540 1134694 1444156 1805195 2063080 2269388 2527273 2836735 2888312 3610390 3971429 4538776 5054546 5673470 7220780 7942858 10109092 11346940 12636365 14441560 15885716 19857145 20218184 22693880 25272730 27800003 31771432 39714290 50545460 55600006 79428580 101090920 111200012 139000015 158857160 222400024 278000030 556000060 1112000120