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1011242112 = 2732633443
BaseRepresentation
bin111100010001100…
…101010010000000
32121110211102101120
4330101211102000
54032334221422
6244202232240
734026262506
oct7421452200
92543742346
101011242112
11479902191
122427b5680
1313167521a
1498436676
155dba245c
hex3c465480

1011242112 has 32 divisors (see below), whose sum is σ = 2686112880. Its totient is φ = 337080576.

The previous prime is 1011242047. The next prime is 1011242117. The reversal of 1011242112 is 2112421101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10112421122 = 2045221218164441088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011242091 and 1011242100.

It is not an unprimeable number, because it can be changed into a prime (1011242117) 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 3 ways as a sum of consecutive naturals, for example, 1316338 + ... + 1317105.

Almost surely, 21011242112 is an apocalyptic number.

1011242112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011242112 is an abundant number, since it is smaller than the sum of its proper divisors (1674870768).

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

1011242112 is an equidigital number, since it uses as much as digits as its factorization.

1011242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633460 (or 2633448 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1011242112 is about 31800.0332075298. The cubic root of 1011242112 is about 1003.7334149337.

Adding to 1011242112 its reverse (2112421101), we get a palindrome (3123663213).

The spelling of 1011242112 in words is "one billion, eleven million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2633443 5266886 7900329 10533772 15800658 21067544 31601316 42135088 63202632 84270176 126405264 168540352 252810528 337080704 505621056 1011242112