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1023200012 = 221731485389
BaseRepresentation
bin111100111111001…
…100101100001100
32122022022221112202
4330333030230030
54043414400022
6245310421032
734233025262
oct7477145414
92568287482
101023200012
1148562a34a
12246801778
13133ca0cc3
1499c6a432
155ec65592
hex3cfccb0c

1023200012 has 24 divisors (see below), whose sum is σ = 1957092480. Its totient is φ = 465972480.

The previous prime is 1023199987. The next prime is 1023200039. The reversal of 1023200012 is 2100023201.

It is a happy number.

It is a super-3 number, since 3×10232000123 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023199966 and 1023200002.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 240587 + ... + 244802.

It is an arithmetic number, because the mean of its divisors is an integer number (81545520).

Almost surely, 21023200012 is an apocalyptic number.

It is an amenable number.

1023200012 is a deficient number, since it is larger than the sum of its proper divisors (933892468).

1023200012 is a wasteful number, since it uses less digits than its factorization.

1023200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485441 (or 485439 counting only the distinct ones).

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

The square root of 1023200012 is about 31987.4977452129. The cubic root of 1023200012 is about 1007.6742919184.

Adding to 1023200012 its reverse (2100023201), we get a palindrome (3123223213).

The spelling of 1023200012 in words is "one billion, twenty-three million, two hundred thousand, twelve".

Divisors: 1 2 4 17 31 34 62 68 124 527 1054 2108 485389 970778 1941556 8251613 15047059 16503226 30094118 33006452 60188236 255800003 511600006 1023200012