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1001112012 = 223227808667
BaseRepresentation
bin111011101010111…
…100000111001100
32120202202202111200
4323222330013030
54022241041022
6243201145500
733544211625
oct7352740714
92522682450
101001112012
114741132aa
1223b32b290
1312c539394
1496d5aa4c
155cd50bac
hex3babc1cc

1001112012 has 18 divisors (see below), whose sum is σ = 2530588788. Its totient is φ = 333703992.

The previous prime is 1001112001. The next prime is 1001112017. The reversal of 1001112012 is 2102111001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001111985 and 1001112003.

It is not an unprimeable number, because it can be changed into a prime (1001112017) 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 5 ways as a sum of consecutive naturals, for example, 13904298 + ... + 13904369.

It is an arithmetic number, because the mean of its divisors is an integer number (140588266).

Almost surely, 21001112012 is an apocalyptic number.

1001112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001112012 is an abundant number, since it is smaller than the sum of its proper divisors (1529476776).

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

1001112012 is a wasteful number, since it uses less digits than its factorization.

1001112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27808677 (or 27808672 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1001112012 is about 31640.3541699520. The cubic root of 1001112012 is about 1000.3705333547.

Adding to 1001112012 its reverse (2102111001), we get a palindrome (3103223013).

The spelling of 1001112012 in words is "one billion, one million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 27808667 55617334 83426001 111234668 166852002 250278003 333704004 500556006 1001112012