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1121122112 = 26112144773
BaseRepresentation
bin100001011010010…
…1111011101000000
32220010120220102012
41002310233131000
54244001401422
6303125312052
736532244405
oct10264573500
92803526365
101121122112
11525931700
12273565628
1314b367a86
14a8c7a2ac
15686594e2
hex42d2f740

1121122112 has 42 divisors (see below), whose sum is σ = 2445377634. Its totient is φ = 509597440.

The previous prime is 1121122073. The next prime is 1121122117. The reversal of 1121122112 is 2112211211.

It can be written as a sum of positive squares in only one way, i.e., 964972096 + 156150016 = 31064^2 + 12496^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121122117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64643 + ... + 80130.

It is an arithmetic number, because the mean of its divisors is an integer number (58223277).

Almost surely, 21121122112 is an apocalyptic number.

It is an amenable number.

1121122112 is an abundant number, since it is smaller than the sum of its proper divisors (1324255522).

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

1121122112 is a wasteful number, since it uses less digits than its factorization.

1121122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144807 (or 144786 counting only the distinct ones).

The product of its digits is 16, while the sum is 14.

The square root of 1121122112 is about 33483.1616189392. The cubic root of 1121122112 is about 1038.8455236544.

Adding to 1121122112 its reverse (2112211211), we get a palindrome (3233333323).

It can be divided in two parts, 11 and 21122112, that multiplied together give a palindrome (232343232).

The spelling of 1121122112 in words is "one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 144773 289546 579092 1158184 1592503 2316368 3185006 4632736 6370012 9265472 12740024 17517533 25480048 35035066 50960096 70070132 101920192 140140264 280280528 560561056 1121122112