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1117118000 = 24531134943
BaseRepresentation
bin100001010010101…
…1101111000110000
32212212001110210202
41002211131320300
54241440234000
6302503414332
736453226535
oct10245357060
92785043722
101117118000
11523647319
122721543a8
1314a59538b
14a8516d8c
1568117dd5
hex4295de30

1117118000 has 80 divisors (see below), whose sum is σ = 2725646976. Its totient is φ = 442803200.

The previous prime is 1117117997. The next prime is 1117118069. The reversal of 1117118000 is 8117111.

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 (20).

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, 223529 + ... + 228471.

Almost surely, 21117118000 is an apocalyptic number.

1117118000 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 1117118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362823488).

1117118000 is an abundant number, since it is smaller than the sum of its proper divisors (1608528976).

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

1117118000 is a wasteful number, since it uses less digits than its factorization.

1117118000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 20.

The square root of 1117118000 is about 33423.3152155797. The cubic root of 1117118000 is about 1037.6072952372.

The spelling of 1117118000 in words is "one billion, one hundred seventeen million, one hundred eighteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 125 200 226 250 400 452 500 565 904 1000 1130 1808 2000 2260 2825 4520 4943 5650 9040 9886 11300 14125 19772 22600 24715 28250 39544 45200 49430 56500 79088 98860 113000 123575 197720 226000 247150 395440 494300 558559 617875 988600 1117118 1235750 1977200 2234236 2471500 2792795 4468472 4943000 5585590 8936944 9886000 11171180 13963975 22342360 27927950 44684720 55855900 69819875 111711800 139639750 223423600 279279500 558559000 1117118000