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1112011120 = 245111399091
BaseRepresentation
bin100001001000111…
…1111000101110000
32212111110000111001
41002101333011300
54234133323440
6302202131344
736361636633
oct10221770560
92774400431
101112011120
11520779460
122704b0b54
131494c7a5c
14a7987c1a
1567959b9a
hex4247f170

1112011120 has 80 divisors (see below), whose sum is σ = 2841068160. Its totient is φ = 401414400.

The previous prime is 1112011097. The next prime is 1112011141. The reversal of 1112011120 is 211102111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1112011097 and 1112011106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117775 + ... + 126865.

It is an arithmetic number, because the mean of its divisors is an integer number (35513352).

Almost surely, 21112011120 is an apocalyptic number.

1112011120 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 1112011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420534080).

1112011120 is an abundant number, since it is smaller than the sum of its proper divisors (1729057040).

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

1112011120 is a wasteful number, since it uses less digits than its factorization.

1112011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9254 (or 9248 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1112011120 is about 33346.8307339693. The cubic root of 1112011120 is about 1036.0237468655.

Adding to 1112011120 its reverse (211102111), we get a palindrome (1323113231).

Subtracting from 1112011120 its reverse (211102111), we obtain a palindrome (900909009).

The spelling of 1112011120 in words is "one billion, one hundred twelve million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 139 176 220 278 440 556 695 880 1112 1390 1529 2224 2780 3058 5560 6116 7645 9091 11120 12232 15290 18182 24464 30580 36364 45455 61160 72728 90910 100001 122320 145456 181820 200002 363640 400004 500005 727280 800008 1000010 1263649 1600016 2000020 2527298 4000040 5054596 6318245 8000080 10109192 12636490 13900139 20218384 25272980 27800278 50545960 55600556 69500695 101091920 111201112 139001390 222402224 278002780 556005560 1112011120