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1121150080 = 2751998803
BaseRepresentation
bin100001011010011…
…0110010010000000
32220010122022210001
41002310312102000
54244003300310
6303130045344
736532422061
oct10264662200
92803568701
101121150080
11525950716
12273579854
1314b37771b
14a8c86568
156866293a
hex42d36480

1121150080 has 64 divisors (see below), whose sum is σ = 2694024000. Its totient is φ = 446155776.

The previous prime is 1121150057. The next prime is 1121150089. The reversal of 1121150080 is 800511211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1121150089) 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 7 ways as a sum of consecutive naturals, for example, 122959 + ... + 131761.

It is an arithmetic number, because the mean of its divisors is an integer number (42094125).

Almost surely, 21121150080 is an apocalyptic number.

1121150080 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 1121150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347012000).

1121150080 is an abundant number, since it is smaller than the sum of its proper divisors (1572873920).

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

1121150080 is an equidigital number, since it uses as much as digits as its factorization.

1121150080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9021 (or 9009 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 19.

The square root of 1121150080 is about 33483.5792590936. The cubic root of 1121150080 is about 1038.8541620801.

Adding to 1121150080 its reverse (800511211), we get a palindrome (1921661291).

The spelling of 1121150080 in words is "one billion, one hundred twenty-one million, one hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 199 320 398 640 796 995 1592 1990 3184 3980 6368 7960 8803 12736 15920 17606 25472 31840 35212 44015 63680 70424 88030 127360 140848 176060 281696 352120 563392 704240 1126784 1408480 1751797 2816960 3503594 5633920 7007188 8758985 14014376 17517970 28028752 35035940 56057504 70071880 112115008 140143760 224230016 280287520 560575040 1121150080