Search a number
-
+
1110042120 = 233511840941
BaseRepresentation
bin100001000101001…
…1110011000001000
32212100201222112010
41002022132120020
54233132321440
6302052015520
736336126255
oct10212363010
92770658463
101110042120
1151a654090
1226b9015a0
13148c88775
14a75d442c
15676bb580
hex4229e608

1110042120 has 64 divisors (see below), whose sum is σ = 3632869440. Its totient is φ = 269100800.

The previous prime is 1110042061. The next prime is 1110042121. The reversal of 1110042120 is 212400111.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1110042096 and 1110042105.

It is not an unprimeable number, because it can be changed into a prime (1110042121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419151 + ... + 421790.

It is an arithmetic number, because the mean of its divisors is an integer number (56763585).

Almost surely, 21110042120 is an apocalyptic number.

1110042120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110042120 is an abundant number, since it is smaller than the sum of its proper divisors (2522827320).

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

1110042120 is a wasteful number, since it uses less digits than its factorization.

1110042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840966 (or 840962 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1110042120 is about 33317.2946080560. The cubic root of 1110042120 is about 1035.4119016785.

Adding to 1110042120 its reverse (212400111), we get a palindrome (1322442231).

The spelling of 1110042120 in words is "one billion, one hundred ten million, forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 840941 1681882 2522823 3363764 4204705 5045646 6727528 8409410 9250351 10091292 12614115 16818820 18500702 20182584 25228230 27751053 33637640 37001404 46251755 50456460 55502106 74002808 92503510 100912920 111004212 138755265 185007020 222008424 277510530 370014040 555021060 1110042120