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1002230012 = 227199911901
BaseRepresentation
bin111011101111001…
…101000011111100
32120211212120010002
4323233031003330
54023032330022
6243241133432
733556546250
oct7357150374
92524776102
101002230012
11474807273
1223b78a278
1312c83b214
149716c260
155cec2092
hex3bbcd0fc

1002230012 has 48 divisors (see below), whose sum is σ = 2113198080. Its totient is φ = 406296000.

The previous prime is 1002229999. The next prime is 1002230017. The reversal of 1002230012 is 2100322001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1002229975 and 1002230002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002230017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526262 + ... + 528162.

It is an arithmetic number, because the mean of its divisors is an integer number (44024960).

Almost surely, 21002230012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002230012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056599040).

1002230012 is an abundant number, since it is smaller than the sum of its proper divisors (1110968068).

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

1002230012 is a wasteful number, since it uses less digits than its factorization.

1002230012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1002230012 is about 31658.0165518941. The cubic root of 1002230012 is about 1000.7427854665.

Adding to 1002230012 its reverse (2100322001), we get a palindrome (3102552013).

The spelling of 1002230012 in words is "one billion, two million, two hundred thirty thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 991 1901 1982 3802 3964 6937 7604 13307 13874 18829 26614 27748 36119 37658 53228 72238 75316 131803 144476 252833 263606 505666 527212 1011332 1883891 3767782 7535564 13187237 26374474 35793929 52748948 71587858 143175716 250557503 501115006 1002230012