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1000002312 = 2332107129803
BaseRepresentation
bin111011100110101…
…101001100001000
32120200200101021200
4323212231030020
54022000033222
6243121304200
733531610431
oct7346551410
92520611250
101000002312
114735255a1
1223aa95060
1312c23b25a
1496b4c488
155cbd1eac
hex3b9ad308

1000002312 has 48 divisors (see below), whose sum is σ = 2733672240. Its totient is φ = 330216288.

The previous prime is 1000002307. The next prime is 1000002359. The reversal of 1000002312 is 2132000001.

It is a happy number.

1000002312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1000002294 and 1000002303.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57198 + ... + 72605.

It is an arithmetic number, because the mean of its divisors is an integer number (56951505).

Almost surely, 21000002312 is an apocalyptic number.

1000002312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000002312 is an abundant number, since it is smaller than the sum of its proper divisors (1733669928).

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

1000002312 is a wasteful number, since it uses less digits than its factorization.

1000002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129922 (or 129915 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000002312 is about 31622.8131575924. The cubic root of 1000002312 is about 1000.0007706661. Note that the first 3 decimals are identical.

Adding to 1000002312 its reverse (2132000001), we get a palindrome (3132002313).

The spelling of 1000002312 in words is "one billion, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1926 2568 3852 7704 129803 259606 389409 519212 778818 1038424 1168227 1557636 2336454 3115272 4672908 9345816 13888921 27777842 41666763 55555684 83333526 111111368 125000289 166667052 250000578 333334104 500001156 1000002312