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1002012012 = 223346719867
BaseRepresentation
bin111011101110010…
…111110101101100
32120211110111002000
4323232113311230
54023003341022
6243232332300
733554650551
oct7356276554
92524414060
101002012012
11474678501
1223b6a4090
1312c792c21
1497112a28
155ce7c6ac
hex3bb97d6c

1002012012 has 48 divisors (see below), whose sum is σ = 2603502720. Its totient is φ = 333272016.

The previous prime is 1002012007. The next prime is 1002012013. The reversal of 1002012012 is 2102102001.

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 = 1002011985 and 1002012003.

It is not an unprimeable number, because it can be changed into a prime (1002012013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40503 + ... + 60369.

It is an arithmetic number, because the mean of its divisors is an integer number (54239640).

Almost surely, 21002012012 is an apocalyptic number.

1002012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002012012 is an abundant number, since it is smaller than the sum of its proper divisors (1601490708).

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

1002012012 is a wasteful number, since it uses less digits than its factorization.

1002012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20347 (or 20339 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1002012012 is about 31654.5733188745. The cubic root of 1002012012 is about 1000.6702213696.

Adding to 1002012012 its reverse (2102102001), we get a palindrome (3104114013).

The spelling of 1002012012 in words is "one billion, two million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 467 934 1401 1868 2802 4203 5604 8406 12609 16812 19867 25218 39734 50436 59601 79468 119202 178803 238404 357606 536409 715212 1072818 2145636 9277889 18555778 27833667 37111556 55667334 83501001 111334668 167002002 250503003 334004004 501006006 1002012012