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1105113000 = 23353894139
BaseRepresentation
bin100000111011110…
…1010111110101000
32212000110120001010
41001313222332220
54230402104000
6301354223520
736246206535
oct10167527650
92760416033
101105113000
11517897832
1226a124ba0
13147c51024
14a6aadd8c
1567045d50
hex41deafa8

1105113000 has 128 divisors (see below), whose sum is σ = 3487536000. Its totient is φ = 291315200.

The previous prime is 1105112963. The next prime is 1105113001. The reversal of 1105113000 is 3115011.

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

It is not an unprimeable number, because it can be changed into a prime (1105113001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264931 + ... + 269069.

It is an arithmetic number, because the mean of its divisors is an integer number (27246375).

Almost surely, 21105113000 is an apocalyptic number.

1105113000 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 1105113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743768000).

1105113000 is an abundant number, since it is smaller than the sum of its proper divisors (2382423000).

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

1105113000 is a wasteful number, since it uses less digits than its factorization.

1105113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4238 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 12.

The square root of 1105113000 is about 33243.2399143044. The cubic root of 1105113000 is about 1033.8770522766.

Adding to 1105113000 its reverse (3115011), we get a palindrome (1108228011).

The spelling of 1105113000 in words is "one billion, one hundred five million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 125 150 178 200 250 267 300 356 375 445 500 534 600 712 750 890 1000 1068 1335 1500 1780 2136 2225 2670 3000 3560 4139 4450 5340 6675 8278 8900 10680 11125 12417 13350 16556 17800 20695 22250 24834 26700 33112 33375 41390 44500 49668 53400 62085 66750 82780 89000 99336 103475 124170 133500 165560 206950 248340 267000 310425 368371 413900 496680 517375 620850 736742 827800 1034750 1105113 1241700 1473484 1552125 1841855 2069500 2210226 2483400 2946968 3104250 3683710 4139000 4420452 5525565 6208500 7367420 8840904 9209275 11051130 12417000 14734840 18418550 22102260 27627825 36837100 44204520 46046375 55255650 73674200 92092750 110511300 138139125 184185500 221022600 276278250 368371000 552556500 1105113000